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57226304784 = 243112361671153
BaseRepresentation
bin110101010010111101…
…000001110100010000
312110201012101111012210
4311102331001310100
51414144413223114
642142302152120
74064056364505
oct652275016420
9173635344183
1057226304784
11222a6836870
12b110b82640
13551cc1000c
142aac3594ac
15174deb2259
hexd52f41d10

57226304784 has 320 divisors, whose sum is σ = 173748307968. Its totient is φ = 16057958400.

The previous prime is 57226304749. The next prime is 57226304809. The reversal of 57226304784 is 48740362275.

It is a super-2 number, since 2×572263047842 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49631952 + ... + 49633104.

Almost surely, 257226304784 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 57226304784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86874153984).

57226304784 is an abundant number, since it is smaller than the sum of its proper divisors (116522003184).

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

57226304784 is a wasteful number, since it uses less digits than its factorization.

57226304784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 57226304784 in words is "fifty-seven billion, two hundred twenty-six million, three hundred four thousand, seven hundred eighty-four".