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53237990304 = 25321739831087
BaseRepresentation
bin110001100101001110…
…110100001110100000
312002102020200010021200
4301211032310032200
51333012411142204
640242430521200
73563200310502
oct614516641640
9162366603250
1053237990304
112063a5040a4
12a399366200
135035850415
1428107a7d72
1515b8c99539
hexc653b43a0

53237990304 has 144 divisors (see below), whose sum is σ = 152565783552. Its totient is φ = 17609255424.

The previous prime is 53237990293. The next prime is 53237990339. The reversal of 53237990304 is 40309973235.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×532379903042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53237990304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48976449 + ... + 48977535.

It is an arithmetic number, because the mean of its divisors is an integer number (1059484608).

Almost surely, 253237990304 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 53237990304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76282891776).

53237990304 is an abundant number, since it is smaller than the sum of its proper divisors (99327793248).

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

53237990304 is a wasteful number, since it uses less digits than its factorization.

53237990304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 53237990304 in words is "fifty-three billion, two hundred thirty-seven million, nine hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 983 1038 1087 1384 1557 1966 2076 2174 2768 2949 3114 3261 3932 4152 4348 5536 5898 6228 6522 7864 8304 8696 8847 9783 11796 12456 13044 15728 16608 17392 17694 19566 23592 24912 26088 31456 34784 35388 39132 47184 49824 52176 70776 78264 94368 104352 141552 156528 170059 188051 283104 313056 340118 376102 510177 564153 680236 752204 1020354 1068521 1128306 1360472 1504408 1530531 1692459 2040708 2137042 2256612 2720944 3008816 3061062 3205563 3384918 4081416 4274084 4513224 5441888 6017632 6122124 6411126 6769836 8162832 8548168 9026448 9616689 12244248 12822252 13539672 16325664 17096336 18052896 19233378 24488496 25644504 27079344 34192672 38466756 48976992 51289008 54158688 76933512 102578016 153867024 184854133 307734048 369708266 554562399 739416532 1109124798 1478833064 1663687197 2218249596 2957666128 3327374394 4436499192 5915332256 6654748788 8872998384 13309497576 17745996768 26618995152 53237990304