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46540516057312 = 25172327713428413
BaseRepresentation
bin10101001010100000011101…
…11011010110000011100000
320002210020012120210020111111
422211100032323112003200
522100004434102313222
6242552230134153104
712542304242200414
oct1245201673260340
9202706176706444
1046540516057312
11139137a4007502
125277a447b2794
131cc79a0a12624
14b6c804430d44
1555a95b75a777
hex2a540eed60e0

46540516057312 has 96 divisors (see below), whose sum is σ = 101600024887872. Its totient is φ = 20873553321984.

The previous prime is 46540516057309. The next prime is 46540516057319. The reversal of 46540516057312 is 21375061504564.

It is a super-2 number, since 2×465405160573122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46540516057319) 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, 3248383 + ... + 10180030.

It is an arithmetic number, because the mean of its divisors is an integer number (1058333592582).

Almost surely, 246540516057312 is an apocalyptic number.

It is an amenable number.

46540516057312 is an abundant number, since it is smaller than the sum of its proper divisors (55059508830560).

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

46540516057312 is a wasteful number, since it uses less digits than its factorization.

46540516057312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13428740 (or 13428732 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

The spelling of 46540516057312 in words is "forty-six trillion, five hundred forty billion, five hundred sixteen million, fifty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 277 368 391 544 554 736 782 1108 1564 2216 3128 4432 4709 6256 6371 8864 9418 12512 12742 18836 25484 37672 50968 75344 101936 108307 150688 203872 216614 433228 866456 1732912 3465824 13428413 26856826 53713652 107427304 214854608 228283021 308853499 429709216 456566042 617706998 913132084 1235413996 1826264168 2470827992 3652528336 3719670401 4941655984 5250509483 7305056672 7439340802 9883311968 10501018966 14878681604 21002037932 29757363208 42004075864 59514726416 63234396817 84008151728 85552419223 119029452832 126468793634 168016303456 171104838446 252937587268 342209676892 505875174536 684419353784 1011750349072 1368838707568 1454391126791 2023500698144 2737677415136 2908782253582 5817564507164 11635129014328 23270258028656 46540516057312