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57072413700 = 22355217913121
BaseRepresentation
bin110101001001110001…
…111110110000000100
312110022110211000100000
4311021301332300010
51413341014214300
642115123521300
74060210340451
oct651161766004
9173273730300
1057072413700
1122227987155
12b089529230
1354c707acc3
142a95b3a828
151740714c00
hexd49c7ec04

57072413700 has 216 divisors, whose sum is σ = 186566496480. Its totient is φ = 15133132800.

The previous prime is 57072413689. The next prime is 57072413711. The reversal of 57072413700 is 731427075.

57072413700 is a `hidden beast` number, since 570 + 7 + 2 + 4 + 13 + 70 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57072413689) and next prime (57072413711).

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 71 ways as a sum of consecutive naturals, for example, 4343140 + ... + 4356260.

It is an arithmetic number, because the mean of its divisors is an integer number (863733780).

Almost surely, 257072413700 is an apocalyptic number.

57072413700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57072413700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93283248240).

57072413700 is an abundant number, since it is smaller than the sum of its proper divisors (129494082780).

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

57072413700 is a wasteful number, since it uses less digits than its factorization.

57072413700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13329 (or 13310 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 57072413700 in words is "fifty-seven billion, seventy-two million, four hundred thirteen thousand, seven hundred".