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57142033936 = 2413245972
BaseRepresentation
bin110101001101111011…
…100011111000010000
312110111022211002100021
4311031323203320100
51414011330041221
642130052033224
74062014163061
oct651573437020
9173438732307
1057142033936
1122263208939
12b0a8902814
135508615a00
142aa10a0568
1517468b8041
hexd4dee3e10

57142033936 has 45 divisors (see below), whose sum is σ = 119910240711. Its totient is φ = 26367509376.

The previous prime is 57142033931. The next prime is 57142033939. The reversal of 57142033936 is 63933024175.

It is a happy number.

The square root of 57142033936 is 239044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 35285368336 + 21856665600 = 187844^2 + 147840^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57142033892 and 57142033901.

It is not an unprimeable number, because it can be changed into a prime (57142033931) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 12427990 + ... + 12432586.

Almost surely, 257142033936 is an apocalyptic number.

57142033936 is the 239044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57142033936

57142033936 is an abundant number, since it is smaller than the sum of its proper divisors (62768206775).

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

57142033936 is an frugal number, since it uses more digits than its factorization.

57142033936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9228 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 57142033936 in words is "fifty-seven billion, one hundred forty-two million, thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 4597 9194 18388 36776 59761 73552 119522 239044 478088 776893 956176 1553786 3107572 6215144 12430288 21132409 42264818 84529636 169059272 274721317 338118544 549442634 1098885268 2197770536 3571377121 4395541072 7142754242 14285508484 28571016968 57142033936