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243253655106 = 237112241198613
BaseRepresentation
bin1110001010001100001…
…1000011011001000010
3212020212202200000201120
43202203003003121002
512441140413430411
6303425454013110
723401023644520
oct3424303033102
9766782600646
10243253655106
119418838a500
123b1891a7196
1319c284a8237
14bab8843310
1564da907106
hex38a30c3642

243253655106 has 96 divisors (see below), whose sum is σ = 613688659584. Its totient is φ = 62920281600.

The previous prime is 243253655087. The next prime is 243253655111. The reversal of 243253655106 is 601556352342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125456 + ... + 1324068.

It is an arithmetic number, because the mean of its divisors is an integer number (6392590204).

Almost surely, 2243253655106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243253655106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306844329792).

243253655106 is an abundant number, since it is smaller than the sum of its proper divisors (370435004478).

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

243253655106 is a wasteful number, since it uses less digits than its factorization.

243253655106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198888 (or 198877 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 243253655106 in words is "two hundred forty-three billion, two hundred fifty-three million, six hundred fifty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 241 242 363 462 482 723 726 847 1446 1687 1694 2541 2651 3374 5061 5082 5302 7953 10122 15906 18557 29161 37114 55671 58322 87483 111342 174966 198613 204127 397226 408254 595839 612381 1191678 1224762 1390291 2184743 2780582 4170873 4369486 6554229 8341746 13108458 15293201 24032173 30586402 45879603 47865733 48064346 72096519 91759206 95731466 143597199 144193038 168225211 287194398 335060131 336450422 504675633 526523063 670120262 1005180393 1009351266 1053046126 1579569189 2010360786 3159138378 3685661441 5791753693 7371322882 11056984323 11583507386 17375261079 22113968646 34750522158 40542275851 81084551702 121626827553 243253655106