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57045978649 = 112217132
BaseRepresentation
bin110101001000001101…
…001000111000011001
312110020122001222021001
4311020031020320121
51413312232304044
642112341145001
74056436550362
oct651015107031
9173218058231
1057045978649
1122213a71100
12b0806bb161
1354c175386a
142a92418b69
15173d2422d4
hexd48348e19

57045978649 has 9 divisors (see below), whose sum is σ = 62706319039. Its totient is φ = 51857592160.

The previous prime is 57045978641. The next prime is 57045978683. The reversal of 57045978649 is 94687954075.

The square root of 57045978649 is 238843.

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

It can be written as a sum of positive squares in only one way, i.e., 14787776025 + 42258202624 = 121605^2 + 205568^2 .

It is not a de Polignac number, because 57045978649 - 23 = 57045978641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57045978641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2616417 + ... + 2638129.

Almost surely, 257045978649 is an apocalyptic number.

57045978649 is the 238843-rd square number.

57045978649 is the 119422-nd centered octagonal number.

It is an amenable number.

57045978649 is a deficient number, since it is larger than the sum of its proper divisors (5660340390).

57045978649 is an frugal number, since it uses more digits than its factorization.

57045978649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43448 (or 21724 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 64.

Multiplying 57045978649 by its sum of digits (64), we get a square (3650942633536 = 19107442).

The spelling of 57045978649 in words is "fifty-seven billion, forty-five million, nine hundred seventy-eight thousand, six hundred forty-nine".

Divisors: 1 11 121 21713 238843 2627273 471454369 5185998059 57045978649