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57306073104 = 243472902401
BaseRepresentation
bin110101010111101101…
…010100100000010000
312110220202111010210000
4311113231110200100
51414330323314404
642154232010000
74066045404300
oct652755244020
9173822433700
1057306073104
11223378699a5
12b133830900
1355335bbac7
142ab8ba1600
151755ebc339
hexd57b54810

57306073104 has 150 divisors (see below), whose sum is σ = 192939864414. Its totient is φ = 16373145600.

The previous prime is 57306073103. The next prime is 57306073127. The reversal of 57306073104 is 40137060375.

57306073104 is a `hidden beast` number, since 5 + 7 + 30 + 607 + 3 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33287272704 + 24018800400 = 182448^2 + 154980^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57306073103) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 387697 + ... + 514704.

Almost surely, 257306073104 is an apocalyptic number.

57306073104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

57306073104 is an abundant number, since it is smaller than the sum of its proper divisors (135633791310).

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

57306073104 is a wasteful number, since it uses less digits than its factorization.

57306073104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902435 (or 902413 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 57306073104 in words is "fifty-seven billion, three hundred six million, seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 902401 1804802 2707203 3609604 5414406 6316807 7219208 8121609 10828812 12633614 14438416 16243218 18950421 21657624 24364827 25267228 32486436 37900842 43315248 44217649 48729654 50534456 56851263 64972872 73094481 75801684 88435298 97459308 101068912 113702526 129945744 132652947 146188962 151603368 170553789 176870596 194918616 227405052 265305894 292377924 303206736 341107578 353741192 389837232 397958841 454810104 511661367 530611788 584755848 682215156 707482384 795917682 909620208 1023322734 1061223576 1169511696 1193876523 1364430312 1591835364 2046645468 2122447152 2387753046 2728860624 3183670728 3581629569 4093290936 4775506092 6367341456 7163259138 8186581872 9551012184 14326518276 19102024368 28653036552 57306073104