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57430017324 = 223231353549
BaseRepresentation
bin110101011111000110…
…001000010100101100
312111020101201011021200
4311133012020110230
51420104041023244
642214420325500
74102112043561
oct653706102454
9174211634250
1057430017324
11223a0825039
12b169243890
135553197094
142acb426868
151761d01669
hexd5f18852c

57430017324 has 72 divisors (see below), whose sum is σ = 150011971200. Its totient is φ = 18525466080.

The previous prime is 57430017319. The next prime is 57430017331. The reversal of 57430017324 is 42371003475.

57430017324 is a `hidden beast` number, since 57 + 430 + 0 + 173 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1045702 + ... + 1099250.

It is an arithmetic number, because the mean of its divisors is an integer number (2083499600).

Almost surely, 257430017324 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 57430017324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75005985600).

57430017324 is an abundant number, since it is smaller than the sum of its proper divisors (92581953876).

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

57430017324 is a wasteful number, since it uses less digits than its factorization.

57430017324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53652 (or 53585 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 57430017324 in words is "fifty-seven billion, four hundred thirty million, seventeen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3844 5766 8649 11532 17298 29791 34596 53549 59582 89373 107098 119164 160647 178746 214196 268119 321294 357492 481941 536238 642588 963882 1072476 1660019 1927764 3320038 4980057 6640076 9960114 14940171 19920228 29880342 51460589 59760684 102921178 154381767 205842356 308763534 463145301 617527068 926290602 1595278259 1852581204 3190556518 4785834777 6381113036 9571669554 14357504331 19143339108 28715008662 57430017324