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57149772498 = 232713317110063
BaseRepresentation
bin110101001110011001…
…000101001011010010
312110111212101020122200
4311032121011023102
51414020320204443
642130525544030
74062140023350
oct651631051322
9173455336580
1057149772498
1122267613a45
12b0ab415016
13550a0c5140
142aa21167d0
1517473e5dd3
hexd4e6452d2

57149772498 has 96 divisors (see below), whose sum is σ = 152881537536. Its totient is φ = 15024783744.

The previous prime is 57149772481. The next prime is 57149772499. The reversal of 57149772498 is 89427794175.

57149772498 is a `hidden beast` number, since 5 + 71 + 4 + 9 + 7 + 72 + 498 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (57149772499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464215 + ... + 574277.

It is an arithmetic number, because the mean of its divisors is an integer number (1592516016).

Almost surely, 257149772498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57149772498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440768768).

57149772498 is an abundant number, since it is smaller than the sum of its proper divisors (95731765038).

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

57149772498 is a wasteful number, since it uses less digits than its factorization.

57149772498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110408 (or 110405 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 57149772498 in words is "fifty-seven billion, one hundred forty-nine million, seven hundred seventy-two thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 317 546 634 819 951 1638 1902 2219 2853 4121 4438 5706 6657 8242 12363 13314 19971 24726 28847 37089 39942 57694 74178 86541 110063 173082 220126 259623 330189 519246 660378 770441 990567 1430819 1540882 1981134 2311323 2861638 4292457 4622646 6933969 8584914 10015733 12877371 13867938 20031466 25754742 30047199 34889971 60094398 69779942 90141597 104669913 180283194 209339826 244229797 314009739 453569623 488459594 628019478 732689391 907139246 1360708869 1465378782 2198068173 2721417738 3174987361 4082126607 4396136346 6349974722 8164253214 9524962083 19049924166 28574886249 57149772498