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52357456125 = 3253134187317
BaseRepresentation
bin110000110000101111…
…110110000011111101
312000010212210100110200
4300300233312003331
51324212002044000
640015213554113
73532316014452
oct606057660375
9160125710420
1052357456125
11202284677a7
12a1924a5939
134c252b0c90
142769877829
151566815500
hexc30bf60fd

52357456125 has 96 divisors (see below), whose sum is σ = 104123571552. Its totient is φ = 25147008000.

The previous prime is 52357456121. The next prime is 52357456159. The reversal of 52357456125 is 52165475325.

It is a happy number.

52357456125 is a `hidden beast` number, since 5 + 2 + 3 + 574 + 56 + 1 + 25 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 52234645401 + 122810724 = 228549^2 + 11082^2 .

It is not a de Polignac number, because 52357456125 - 22 = 52357456121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52357456121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555967 + ... + 643283.

It is an arithmetic number, because the mean of its divisors is an integer number (1084620537).

Almost surely, 252357456125 is an apocalyptic number.

It is an amenable number.

52357456125 is a deficient number, since it is larger than the sum of its proper divisors (51766115427).

52357456125 is a wasteful number, since it uses less digits than its factorization.

52357456125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87392 (or 87379 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The spelling of 52357456125 in words is "fifty-two billion, three hundred fifty-seven million, four hundred fifty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 41 45 65 75 117 123 125 195 205 225 325 369 375 533 585 615 975 1025 1125 1599 1625 1845 2665 2925 3075 4797 4875 5125 7995 9225 13325 14625 15375 23985 39975 46125 66625 87317 119925 199875 261951 436585 599625 785853 1135121 1309755 2182925 3405363 3579997 3929265 5675605 6548775 10216089 10739991 10914625 17026815 17899985 19646325 28378025 32219973 32743875 46539961 51080445 53699955 85134075 89499925 98231625 139619883 141890125 161099865 232699805 255402225 268499775 418859649 425670375 447499625 698099415 805499325 1163499025 1277011125 1342498875 2094298245 3490497075 4027496625 5817495125 10471491225 17452485375 52357456125