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57196771919672 = 2371143891012291049
BaseRepresentation
bin11010000000101001010010…
…10001011100011100111000
321111111221212101012110021212
431000110221101130130320
524444102442102412142
6321351500112022252
715022221220413410
oct1500245121343470
9244457771173255
1057196771919672
11172520186a5050
1264b914b231988
1325bb82b649968
14101a4a4d07640
15692c451d9d82
hex34052945c738

57196771919672 has 512 divisors, whose sum is σ = 140467219200000. Its totient is φ = 21195288576000.

The previous prime is 57196771919621. The next prime is 57196771919723. The reversal of 57196771919672 is 27691917769175.

It is an interprime number because it is at equal distance from previous prime (57196771919621) and next prime (57196771919723).

It is a Harshad number since it is a multiple of its sum of digits (77).

It is a junction number, because it is equal to n+sod(n) for n = 57196771919593 and 57196771919602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54525044204 + ... + 54525045252.

It is an arithmetic number, because the mean of its divisors is an integer number (274350037500).

Almost surely, 257196771919672 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 57196771919672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70233609600000).

57196771919672 is an abundant number, since it is smaller than the sum of its proper divisors (83270447280328).

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

57196771919672 is a wasteful number, since it uses less digits than its factorization.

57196771919672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1531 counting only the distinct ones).

The product of its digits is 630118440, while the sum is 77.

The spelling of 57196771919672 in words is "fifty-seven trillion, one hundred ninety-six billion, seven hundred seventy-one million, nine hundred nineteen thousand, six hundred seventy-two".