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45737663271440 = 24572333231068631
BaseRepresentation
bin10100110011001001000010…
…01011000001001000010000
312222221110220101121221222212
422121210201023001020100
521443331213244141230
6241135331544451252
712430302635130410
oct1231444113011020
9188843811557885
1045737663271440
11136342635a1538
125168322a79b28
131c6a073a1659a
14b41a01264640
15544b1cca3895
hex2999212c1210

45737663271440 has 160 divisors (see below), whose sum is σ = 126853765410816. Its totient is φ = 14995152944640.

The previous prime is 45737663271439. The next prime is 45737663271449. The reversal of 45737663271440 is 4417236673754.

It is a self number, because there is not a number n which added to its sum of digits gives 45737663271440.

It is not an unprimeable number, because it can be changed into a prime (45737663271449) 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, 42265925 + ... + 43334555.

Almost surely, 245737663271440 is an apocalyptic number.

45737663271440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45737663271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63426882705408).

45737663271440 is an abundant number, since it is smaller than the sum of its proper divisors (81116102139376).

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

45737663271440 is a wasteful number, since it uses less digits than its factorization.

45737663271440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071997 (or 1071991 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 59.

The spelling of 45737663271440 in words is "forty-five trillion, seven hundred thirty-seven billion, six hundred sixty-three million, two hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 3323 6440 6646 12880 13292 16615 23261 26584 33230 46522 53168 66460 76429 93044 116305 132920 152858 186088 232610 265840 305716 372176 382145 465220 535003 611432 764290 930440 1068631 1070006 1222864 1528580 1860880 2137262 2140012 2675015 3057160 4274524 4280024 5343155 5350030 6114320 7480417 8549048 8560048 10686310 10700060 14960834 17098096 21372620 21400120 24578513 29921668 37402085 42745240 42800240 49157026 59843336 74804170 85490480 98314052 119686672 122892565 149608340 172049591 196628104 245785130 299216680 344099182 393256208 491570260 598433360 688198364 860247955 983140520 1376396728 1720495910 1966281040 2752793456 3440991820 3551060813 6881983640 7102121626 13763967280 14204243252 17755304065 24857425691 28408486504 35510608130 49714851382 56816973008 71021216260 81674398699 99429702764 124287128455 142042432520 163348797398 198859405528 248574256910 284084865040 326697594796 397718811056 408371993495 497148513820 571720790893 653395189592 816743986990 994297027640 1143441581786 1306790379184 1633487973980 1988594055280 2286883163572 2858603954465 3266975947960 4573766327144 5717207908930 6533951895920 9147532654288 11434415817860 22868831635720 45737663271440