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57200076432 = 2432894463177
BaseRepresentation
bin110101010001011000…
…111110011010010000
312110122101000221200100
4311101120332122100
51414121204421212
642135524052400
74063320425142
oct652130763220
9173571027610
1057200076432
1122292a52044
12b104234100
135517658995
142aa8a8cc92
15174ba30bdc
hexd5163e690

57200076432 has 60 divisors (see below), whose sum is σ = 161879466060. Its totient is φ = 18852455424.

The previous prime is 57200076379. The next prime is 57200076449. The reversal of 57200076432 is 23467000275.

It is a happy number.

57200076432 is a `hidden beast` number, since 5 + 7 + 2 + 0 + 0 + 0 + 7 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4049540496 + 53150535936 = 63636^2 + 230544^2 .

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 11 ways as a sum of consecutive naturals, for example, 2218773 + ... + 2244404.

It is an arithmetic number, because the mean of its divisors is an integer number (2697991101).

Almost surely, 257200076432 is an apocalyptic number.

It is an amenable number.

57200076432 is an abundant number, since it is smaller than the sum of its proper divisors (104679389628).

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

57200076432 is a wasteful number, since it uses less digits than its factorization.

57200076432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463280 (or 4463271 counting only the distinct ones).

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

The spelling of 57200076432 in words is "fifty-seven billion, two hundred million, seventy-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 4463177 8926354 13389531 17852708 26779062 35705416 40168593 53558124 71410832 80337186 107116248 160674372 214232496 321348744 397222753 642697488 794445506 1191668259 1588891012 2383336518 3177782024 3575004777 4766673036 6355564048 7150009554 9533346072 14300019108 19066692144 28600038216 57200076432