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53124507408 = 24371752317783
BaseRepresentation
bin110001011110011101…
…111010011100010000
312002010100010121000110
4301132131322130100
51332244333214113
640223254321320
73560321601540
oct613635723420
9162110117013
1053124507408
1120591443785
12a367359240
13501819898b
1427dd6a7320
1515add2ebc3
hexc5e77a710

53124507408 has 160 divisors (see below), whose sum is σ = 166396778496. Its totient is φ = 14257465344.

The previous prime is 53124507407. The next prime is 53124507427. The reversal of 53124507408 is 80470542135.

It is not an unprimeable number, because it can be changed into a prime (53124507407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2978485 + ... + 2996267.

Almost surely, 253124507408 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 53124507408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83198389248).

53124507408 is an abundant number, since it is smaller than the sum of its proper divisors (113272271088).

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

53124507408 is a wasteful number, since it uses less digits than its factorization.

53124507408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18341 (or 18335 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 53124507408 in words is "fifty-three billion, one hundred twenty-four million, five hundred seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 523 714 816 952 1046 1428 1569 1904 2092 2856 3138 3661 4184 5712 6276 7322 8368 8891 10983 12552 14644 17782 17783 21966 25104 26673 29288 35564 35566 43932 53346 53349 58576 62237 71128 71132 87864 106692 106698 124474 124481 142256 142264 175728 186711 213384 213396 248948 248962 284528 302311 373422 373443 426768 426792 497896 497924 604622 746844 746886 853584 906933 995792 995848 1209244 1493688 1493772 1813866 1991696 2116177 2418488 2987376 2987544 3627732 4232354 4836976 5975088 6348531 7255464 8464708 9300509 12697062 14510928 16929416 18601018 25394124 27901527 33858832 37202036 50788248 55803054 65103563 74404072 101576496 111606108 130207126 148808144 158108653 195310689 223212216 260414252 316217306 390621378 446424432 474325959 520828504 632434612 781242756 948651918 1041657008 1106760571 1264869224 1562485512 1897303836 2213521142 2529738448 3124971024 3320281713 3794607672 4427042284 6640563426 7589215344 8854084568 13281126852 17708169136 26562253704 53124507408