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52038929052 = 223211418936013
BaseRepresentation
bin110000011101110000…
…110000101010011100
311222022200102111110200
4300131300300222130
51323033431212202
635523434503500
73521400412215
oct603560605234
9158280374420
1052038929052
1120084689690
12a103894b90
134ba42c7316
14273944040c
151548896e1c
hexc1dc30a9c

52038929052 has 144 divisors (see below), whose sum is σ = 148657148640. Its totient is φ = 15211468800.

The previous prime is 52038929029. The next prime is 52038929071. The reversal of 52038929052 is 25092983025.

52038929052 is a `hidden beast` number, since 520 + 38 + 9 + 2 + 90 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52038928989 and 52038929007.

It is a congruent number.

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, 1426998 + ... + 1463010.

It is an arithmetic number, because the mean of its divisors is an integer number (1032341310).

Almost surely, 252038929052 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 52038929052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74328574320).

52038929052 is an abundant number, since it is smaller than the sum of its proper divisors (96618219588).

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

52038929052 is a wasteful number, since it uses less digits than its factorization.

52038929052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36164 (or 36159 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 52038929052 in words is "fifty-two billion, thirty-eight million, nine hundred twenty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 89 99 123 132 164 178 198 246 267 356 369 396 451 492 534 738 801 902 979 1068 1353 1476 1602 1804 1958 2706 2937 3204 3649 3916 4059 5412 5874 7298 8118 8811 10947 11748 14596 16236 17622 21894 32841 35244 36013 40139 43788 65682 72026 80278 108039 120417 131364 144052 160556 216078 240834 324117 361251 396143 432156 481668 648234 722502 792286 1188429 1296468 1445004 1476533 1584572 2376858 2953066 3205157 3565287 4429599 4753716 5906132 6410314 7130574 8859198 9615471 12820628 13288797 14261148 16241863 17718396 19230942 26577594 28846413 32483726 35256727 38461884 48725589 53155188 57692826 64967452 70513454 97451178 105770181 115385652 131411437 141026908 146176767 194902356 211540362 262822874 292353534 317310543 394234311 423080724 525645748 584707068 634621086 788468622 1182702933 1269242172 1445525807 1576937244 2365405866 2891051614 4336577421 4730811732 5782103228 8673154842 13009732263 17346309684 26019464526 52038929052