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114627279326568 = 23341474635353207
BaseRepresentation
bin11010000100000010111110…
…010001000000110101101000
3120000212021001011221220120220
4122010002332101000311220
5110011023132001422233
61043443013430450040
733100355561031231
oct3204027621006550
9500767034856526
10114627279326568
1133584179942148
1210a3364bb03920
134bc63c9547c38
142043dc04b8088
15d3baba398eb3
hex6840be440d68

114627279326568 has 128 divisors (see below), whose sum is σ = 300451154411520. Its totient is φ = 36405226851840.

The previous prime is 114627279326563. The next prime is 114627279326587. The reversal of 114627279326568 is 865623972726411.

It is a Cunningham number, because it is equal to 107064132-1.

It is a super-2 number, since 2×1146272793265682 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114627279326563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18736221 + ... + 24089427.

It is an arithmetic number, because the mean of its divisors is an integer number (2347274643840).

Almost surely, 2114627279326568 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 114627279326568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150225577205760).

114627279326568 is an abundant number, since it is smaller than the sum of its proper divisors (185823875084952).

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

114627279326568 is a wasteful number, since it uses less digits than its factorization.

114627279326568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353767 (or 5353763 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 69.

The spelling of 114627279326568 in words is "one hundred fourteen trillion, six hundred twenty-seven billion, two hundred seventy-nine million, three hundred twenty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 47 82 94 123 141 164 188 246 282 328 376 463 492 564 926 984 1128 1389 1852 1927 2778 3704 3854 5556 5781 7708 11112 11562 15416 18983 21761 23124 37966 43522 46248 56949 65283 75932 87044 113898 130566 151864 174088 227796 261132 455592 522264 892201 1784402 2676603 3568804 5353206 5353207 7137608 10706412 10706414 16059621 21412824 21412828 32119242 42825656 64238484 128476968 219481487 251600729 438962974 503201458 658444461 754802187 877925948 1006402916 1316888922 1509604374 1755851896 2012805832 2478534841 2633777844 3019208748 4957069682 5267555688 6038417496 7435604523 9914139364 10315629889 14871209046 19828278728 20631259778 29742418092 30946889667 41262519556 59484836184 61893779334 82525039112 101619928481 116491137527 123787558668 203239856962 232982275054 247575117336 304859785443 349473412581 406479713924 465964550108 609719570886 698946825162 812959427848 931929100216 1219439141772 1397893650324 2438878283544 2795787300648 4776136638607 9552273277214 14328409915821 19104546554428 28656819831642 38209093108856 57313639663284 114627279326568