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12440277690528 = 253534093597367
BaseRepresentation
bin1011010100000111101001…
…0101010010100010100000
31122001021112100020011002010
42311001322111102202200
53112310142042044103
642242552404552520
72422531451435502
oct265017225224240
948037470204063
1012440277690528
113a6698a491246
12148b0139b2740
136c31617998ac
14310181195d72
151689008a4903
hexb507a5528a0

12440277690528 has 96 divisors (see below), whose sum is σ = 33280059447936. Its totient is φ = 4067517662208.

The previous prime is 12440277690521. The next prime is 12440277690539. The reversal of 12440277690528 is 82509677204421.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12440277690521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20526501 + ... + 21123867.

It is an arithmetic number, because the mean of its divisors is an integer number (346667285916).

Almost surely, 212440277690528 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 12440277690528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16640029723968).

12440277690528 is an abundant number, since it is smaller than the sum of its proper divisors (20839781757408).

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

12440277690528 is a wasteful number, since it uses less digits than its factorization.

12440277690528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601526 (or 601518 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 12440277690528 in words is "twelve trillion, four hundred forty billion, two hundred seventy-seven million, six hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 4093 5088 8186 12279 16372 24558 32744 49116 65488 98232 130976 196464 216929 392928 433858 597367 650787 867716 1194734 1301574 1735432 1792101 2389468 2603148 3470864 3584202 4778936 5206296 6941728 7168404 9557872 10412592 14336808 19115744 20825184 28673616 31660451 57347232 63320902 94981353 126641804 189962706 253283608 379925412 506567216 759850824 1013134432 1519701648 2445023131 3039403296 4890046262 7335069393 9780092524 14670138786 19560185048 29340277572 39120370096 58680555144 78240740192 117361110288 129586225943 234722220576 259172451886 388758677829 518344903772 777517355658 1036689807544 1555034711316 2073379615088 3110069422632 4146759230176 6220138845264 12440277690528