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57074503680 = 2123252313463
BaseRepresentation
bin110101001001111001…
…111101000000000000
312110022121202012020200
4311021321331000000
51413342033104210
642115240405200
74060234163625
oct651171750000
9173277665220
1057074503680
1122229084407
12b08a176800
1354c763038c
142a9612234c
1517409c90c0
hexd49e7d000

57074503680 has 312 divisors, whose sum is σ = 206450944128. Its totient is φ = 14557052928.

The previous prime is 57074503567. The next prime is 57074503687. The reversal of 57074503680 is 8630547075.

57074503680 is a `hidden beast` number, since 5 + 70 + 74 + 503 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57074503687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4232629 + ... + 4246091.

It is an arithmetic number, because the mean of its divisors is an integer number (661701744).

Almost surely, 257074503680 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 57074503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103225472064).

57074503680 is an abundant number, since it is smaller than the sum of its proper divisors (149376440448).

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

57074503680 is a wasteful number, since it uses less digits than its factorization.

57074503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13521 (or 13496 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 57074503680 in words is "fifty-seven billion, seventy-four million, five hundred three thousand, six hundred eighty".