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55677725304 = 23317317547787
BaseRepresentation
bin110011110110101001…
…101010101001111000
312022201021110111112020
4303312221222221320
51403011444202204
641324502514440
74010513566515
oct636651525170
9168637414466
1055677725304
1121681696113
12a95a435a20
13533413c0b6
1429a280c30c
1516ad06dbd9
hexcf6a6aa78

55677725304 has 128 divisors (see below), whose sum is σ = 148305634560. Its totient is φ = 17358501888.

The previous prime is 55677725263. The next prime is 55677725371. The reversal of 55677725304 is 40352777655.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70746399 + ... + 70747185.

It is an arithmetic number, because the mean of its divisors is an integer number (1158637770).

Almost surely, 255677725304 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 55677725304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74152817280).

55677725304 is an abundant number, since it is smaller than the sum of its proper divisors (92627909256).

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

55677725304 is a wasteful number, since it uses less digits than its factorization.

55677725304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 51.

The spelling of 55677725304 in words is "fifty-five billion, six hundred seventy-seven million, seven hundred twenty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 317 408 547 634 787 951 1094 1268 1574 1641 1902 2188 2361 2536 3148 3282 3804 4376 4722 5389 6296 6564 7608 9299 9444 10778 13128 13379 16167 18598 18888 21556 26758 27897 32334 37196 40137 43112 53516 55794 64668 74392 80274 107032 111588 129336 160548 173399 223176 249479 321096 346798 430489 498958 520197 693596 748437 860978 997916 1040394 1291467 1387192 1496874 1721956 1995832 2080788 2582934 2947783 2993748 3443912 4161576 4241143 5165868 5895566 5987496 7318313 8482286 8843349 10331736 11791132 12723429 14636626 16964572 17686698 21954939 23582264 25446858 29273252 33929144 35373396 43909878 50893716 58546504 70746792 87819756 101787432 136465013 175639512 272930026 409395039 545860052 818790078 1091720104 1637580156 2319905221 3275160312 4639810442 6959715663 9279620884 13919431326 18559241768 27838862652 55677725304