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52413050440644 = 2232331272826643
BaseRepresentation
bin10111110101011010111010…
…10000001100101111000100
320212120122020121021120010020
423322231131100030233010
523332213411403100034
6303250120054455140
714016501151636125
oct1372553520145704
9225518217246106
1052413050440644
1115778282628503
125a660006644b0
1323326b62781ba
14cd2b3b59604c
1560d5b50ed249
hex2fab5d40cbc4

52413050440644 has 96 divisors (see below), whose sum is σ = 128862403461120. Its totient is φ = 16579815636384.

The previous prime is 52413050440609. The next prime is 52413050440649. The reversal of 52413050440644 is 44604405031425.

It is a junction number, because it is equal to n+sod(n) for n = 52413050440596 and 52413050440605.

It is not an unprimeable number, because it can be changed into a prime (52413050440649) 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, 17129187 + ... + 19955829.

It is an arithmetic number, because the mean of its divisors is an integer number (1342316702720).

Almost surely, 252413050440644 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 52413050440644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64431201730560).

52413050440644 is an abundant number, since it is smaller than the sum of its proper divisors (76449353020476).

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

52413050440644 is a wasteful number, since it uses less digits than its factorization.

52413050440644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826846 (or 2826798 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 52413050440644 in words is "fifty-two trillion, four hundred thirteen billion, fifty million, four hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 127 138 254 276 381 508 529 762 1058 1524 1587 2116 2921 3174 5842 6348 8763 11684 12167 17526 24334 35052 36501 48668 67183 73002 134366 146004 201549 268732 403098 806196 1545209 2826643 3090418 4635627 5653286 6180836 8479929 9271254 11306572 16959858 18542508 33919716 65012789 130025578 195038367 260051156 358983661 390076734 717967322 780153468 1076950983 1435934644 1495294147 2153901966 2990588294 4307803932 4485882441 5981176588 8256624203 8971764882 16513248406 17943529764 24769872609 33026496812 34391765381 49539745218 68783530762 99079490436 103175296143 137567061524 189902356669 206350592286 379804713338 412701184572 569707070007 759609426676 1139414140014 2278828280028 4367754203387 8735508406774 13103262610161 17471016813548 26206525220322 52413050440644