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57339390784 = 261325301349
BaseRepresentation
bin110101011001101100…
…011010101101000000
312111000002011212001011
4311121230122231000
51414412341001114
642201422050304
74066631531344
oct653154325500
9174002155034
1057339390784
1122354655a75
12b142a19994
13553a485c00
142abd395624
151758d9e1c4
hexd59b1ab40

57339390784 has 42 divisors (see below), whose sum is σ = 123208675350. Its totient is φ = 26464329216.

The previous prime is 57339390769. The next prime is 57339390809. The reversal of 57339390784 is 48709393375.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 279558400 + 57059832384 = 16720^2 + 238872^2 .

It is a super-3 number, since 3×573393907843 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2639859 + ... + 2661490.

Almost surely, 257339390784 is an apocalyptic number.

It is an amenable number.

57339390784 is an abundant number, since it is smaller than the sum of its proper divisors (65869284566).

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

57339390784 is a wasteful number, since it uses less digits than its factorization.

57339390784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301387 (or 5301364 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 58.

The spelling of 57339390784 in words is "fifty-seven billion, three hundred thirty-nine million, three hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 5301349 10602698 21205396 42410792 68917537 84821584 137835074 169643168 275670148 339286336 551340296 895927981 1102680592 1791855962 2205361184 3583711924 4410722368 7167423848 14334847696 28669695392 57339390784