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57071298816 = 283672792
BaseRepresentation
bin110101001001101101…
…101110100100000000
312110022101201101000000
4311021231232210000
51413340223030231
642115044000000
74060165015200
oct651155564400
9173271641000
1057071298816
1122227295564
12b089090000
1354c6a7a6cc
142a9592a400
1517405946e6
hexd49b6e900

57071298816 has 567 divisors, whose sum is σ = 201234161331. Its totient is φ = 16099679232.

The previous prime is 57071298793. The next prime is 57071298839. The reversal of 57071298816 is 61889217075.

The square root of 57071298816 is 238896.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (57071298793) and next prime (57071298839).

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 722421465 + ... + 722421543.

Almost surely, 257071298816 is an apocalyptic number.

57071298816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

57071298816 is the 238896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57071298816

57071298816 is an abundant number, since it is smaller than the sum of its proper divisors (144162862515).

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

57071298816 is an frugal number, since it uses more digits than its factorization.

57071298816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 57071298816 in words is "fifty-seven billion, seventy-one million, two hundred ninety-eight thousand, eight hundred sixteen".