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57439592744202 = 232235323201112831
BaseRepresentation
bin11010000111101101100101…
…00001011000010100001010
321112101011121222102102002100
431003312302201120110022
530012042241220303302
6322055215025014230
715045605440361424
oct1503666241302412
9245334558372070
1057439592744202
1117335aa3725529
126538217484376
1326086b825a116
14102813c07b814
15699207ae5d1c
hex343db285850a

57439592744202 has 96 divisors (see below), whose sum is σ = 132320556066816. Its totient is φ = 17967590784000.

The previous prime is 57439592744153. The next prime is 57439592744221. The reversal of 57439592744202 is 20244729593475.

It is a happy number.

57439592744202 is a `hidden beast` number, since 5 + 7 + 4 + 39 + 592 + 7 + 4 + 4 + 2 + 0 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57439592744202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509019927 + ... + 509132757.

It is an arithmetic number, because the mean of its divisors is an integer number (1378339125696).

Almost surely, 257439592744202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57439592744202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66160278033408).

57439592744202 is an abundant number, since it is smaller than the sum of its proper divisors (74880963322614).

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

57439592744202 is a wasteful number, since it uses less digits than its factorization.

57439592744202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136116 (or 136113 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 57439592744202 in words is "fifty-seven trillion, four hundred thirty-nine billion, five hundred ninety-two million, seven hundred forty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 954 1219 2438 3657 7314 10971 21942 23201 46402 69603 112831 139206 208809 225662 338493 417618 533623 676986 1015479 1067246 1229653 1600869 2030958 2459306 2595113 3201738 3688959 4802607 5190226 5980043 7377918 7785339 9605214 11066877 11960086 15570678 17940129 22133754 23356017 28282019 35880258 46712034 53820387 56564038 84846057 107640774 137540989 169692114 254538171 275081978 412622967 509076342 825245934 1237868901 2475737802 2617792031 5235584062 7853376093 15706752186 23560128279 47120256558 60209216713 120418433426 138742977643 180627650139 277485955286 361255300278 416228932929 541882950417 832457865858 1083765900834 1248686798787 2497373597574 3191088485789 6382176971578 9573265457367 19146530914734 28719796372101 57439592744202