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57103366656 = 29371732347
BaseRepresentation
bin110101001011101000…
…000011101000000000
312110101122001120210210
4311023220003220000
51413421430213111
642122151154120
74061034415350
oct651350035000
9173348046723
1057103366656
11222433a8606
12b097975940
1355005c796b
142a99cb6b60
1517432cb0a6
hexd4ba03a00

57103366656 has 640 divisors, whose sum is σ = 196855971840. Its totient is φ = 14375387136.

The previous prime is 57103366613. The next prime is 57103366687. The reversal of 57103366656 is 65666330175.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1214965225 + ... + 1214965271.

It is an arithmetic number, because the mean of its divisors is an integer number (307587456).

Almost surely, 257103366656 is an apocalyptic number.

57103366656 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 57103366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98427985920).

57103366656 is an abundant number, since it is smaller than the sum of its proper divisors (139752605184).

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

57103366656 is an equidigital number, since it uses as much as digits as its factorization.

57103366656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The spelling of 57103366656 in words is "fifty-seven billion, one hundred three million, three hundred sixty-six thousand, six hundred fifty-six".