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31364113036224 = 2631038271917737
BaseRepresentation
bin1110010000110100001101…
…10100001111001111000000
311010001101020222000220110110
413020122012310033033000
513102332200414124344
6150412250303431320
76414660650030553
oct710320664171700
9133041228026413
1031364113036224
119aa249a16a2a1
1236266a9bb5540
1314668141415c7
147a606176469a
15395cbc5a43b9
hex1c8686d0f3c0

31364113036224 has 112 divisors (see below), whose sum is σ = 83891249365248. Its totient is φ = 10340677982208.

The previous prime is 31364113036211. The next prime is 31364113036229. The reversal of 31364113036224 is 42263031146313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31364113036229) 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, 15395884 + ... + 17313620.

Almost surely, 231364113036224 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 31364113036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41945624682624).

31364113036224 is an abundant number, since it is smaller than the sum of its proper divisors (52527136329024).

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

31364113036224 is a wasteful number, since it uses less digits than its factorization.

31364113036224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918682 (or 1918672 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 31364113036224 in words is "thirty-one trillion, three hundred sixty-four billion, one hundred thirteen million, thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 827 1236 1648 1654 2472 2481 3296 3308 4944 4962 6592 6616 9888 9924 13232 19776 19848 26464 39696 52928 79392 85181 158784 170362 255543 340724 511086 681448 1022172 1362896 1917737 2044344 2725792 3835474 4088688 5451584 5753211 7670948 8177376 11506422 15341896 16354752 23012844 30683792 46025688 61367584 92051376 122735168 184102752 197526911 368205504 395053822 592580733 790107644 1185161466 1580215288 1585968499 2370322932 3160430576 3171936998 4740645864 4757905497 6320861152 6343873996 9481291728 9515810994 12641722304 12687747992 18962583456 19031621988 25375495984 37925166912 38063243976 50750991968 76126487952 101501983936 152252975904 163354755397 304505951808 326709510794 490064266191 653419021588 980128532382 1306838043176 1960257064764 2613676086352 3920514129528 5227352172704 7841028259056 10454704345408 15682056518112 31364113036224