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241661407672152 = 23341378733643751
BaseRepresentation
bin110110111100101000101110…
…010111000011011101011000
31011200122121100000012111210000
4312330220232113003131120
5223133340030331002102
62213545415034053000
7101621313651521466
oct6674505627033530
91150577300174700
10241661407672152
1170001033592886
122312b72457a160
13a4ac75aa43450
1443966901cb836
151ce127b4a101c
hexdbca2e5c3758

241661407672152 has 160 divisors (see below), whose sum is σ = 729035851531680. Its totient is φ = 74347891200000.

The previous prime is 241661407672117. The next prime is 241661407672183. The reversal of 241661407672152 is 251276704166142.

241661407672152 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 614 + 0 + 7 + 6 + 7 + 2 + 15 + 2 = 666.

It is a super-2 number, since 2×2416614076721522 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64500277 + ... + 68144027.

It is an arithmetic number, because the mean of its divisors is an integer number (4556474072073).

Almost surely, 2241661407672152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241661407672152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364517925765840).

241661407672152 is an abundant number, since it is smaller than the sum of its proper divisors (487374443859528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241661407672152 is a wasteful number, since it uses less digits than its factorization.

241661407672152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651655 (or 3651642 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 241661407672152 in words is "two hundred forty-one trillion, six hundred sixty-one billion, four hundred seven million, six hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 7873 8424 15746 23619 31492 47238 62984 70857 94476 102349 141714 188952 204698 212571 283428 307047 409396 425142 566856 614094 637713 818792 850284 921141 1228188 1275426 1700568 1842282 2456376 2550852 2763423 3643751 3684564 5101704 5526846 7287502 7369128 8290269 10931253 11053692 14575004 16580538 21862506 22107384 29150008 32793759 33161076 43725012 47368763 65587518 66322152 87450024 94737526 98381277 131175036 142106289 189475052 196762554 262350072 284212578 295143831 378950104 393525108 426318867 568425156 590287662 787050216 852637734 1136850312 1180575324 1278956601 1705275468 2361150648 2557913202 3410550936 3836869803 5115826404 7673739606 10231652808 15347479212 28687251623 30694958424 57374503246 86061754869 114749006492 172123509738 229498012984 258185264607 344247019476 372934271099 516370529214 688494038952 745868542198 774555793821 1032741058428 1118802813297 1491737084396 1549111587642 2065482116856 2237605626594 2323667381463 2983474168792 3098223175284 3356408439891 4475211253188 4647334762926 6196446350568 6712816879782 8950422506376 9294669525852 10069225319673 13425633759564 18589339051704 20138450639346 26851267519128 30207675959019 40276901278692 60415351918038 80553802557384 120830703836076 241661407672152