Search a number
-
+
57101982912 = 26351353732
BaseRepresentation
bin110101001011100010…
…110001110011000000
312110101112110021200000
4311023202301303000
51413421101423122
642122101400000
74061016563202
oct651342616300
9173345407600
1057101982912
1122242642a17
12b097409000
135500231b90
142a99a36772
1517431060ac
hexd4b8b1cc0

57101982912 has 504 divisors, whose sum is σ = 188826032304. Its totient is φ = 17002192896.

The previous prime is 57101982911. The next prime is 57101982923. The reversal of 57101982912 is 21928910175.

It is not an unprimeable number, because it can be changed into a prime (57101982911) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 782218908 + ... + 782218980.

It is an arithmetic number, because the mean of its divisors is an integer number (374654826).

Almost surely, 257101982912 is an apocalyptic number.

57101982912 is a gapful number since it is divisible by the number (52) 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 57101982912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94413016152).

57101982912 is an abundant number, since it is smaller than the sum of its proper divisors (131724049392).

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

57101982912 is an equidigital number, since it uses as much as digits as its factorization.

57101982912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 57101982912 in words is "fifty-seven billion, one hundred one million, nine hundred eighty-two thousand, nine hundred twelve".