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57413996976 = 24372374367229
BaseRepresentation
bin110101011110001001…
…000001000110110000
312111012021120020111110
4311132021001012300
51420040440400401
642213045113320
74101525631200
oct653611010660
9174167506443
1057413996976
1122392782786
12b1639b8840
13554ca7819b
142ac9256400
1517606d99d6
hexd5e2411b0

57413996976 has 480 divisors, whose sum is σ = 184828765440. Its totient is φ = 15289731072.

The previous prime is 57413996923. The next prime is 57413997001. The reversal of 57413996976 is 67969931475.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250716030 + ... + 250716258.

It is an arithmetic number, because the mean of its divisors is an integer number (385059928).

Almost surely, 257413996976 is an apocalyptic number.

57413996976 is a gapful number since it is divisible by the number (56) 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 57413996976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92414382720).

57413996976 is an abundant number, since it is smaller than the sum of its proper divisors (127414768464).

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

57413996976 is a wasteful number, since it uses less digits than its factorization.

57413996976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its digits is 77157360, while the sum is 66.

The spelling of 57413996976 in words is "fifty-seven billion, four hundred thirteen million, nine hundred ninety-six thousand, nine hundred seventy-six".