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55607299344 = 24324324572
BaseRepresentation
bin110011110010011101…
…000000110100010000
312022112100221111021100
4303302131000310100
51402340432034334
641313505224400
74006000150152
oct636235006420
9168470844240
1055607299344
1121645964043
12a93a932100
13532268172c
142997318ad2
1516a6cabc99
hexcf2740d10

55607299344 has 135 divisors (see below), whose sum is σ = 159675914853. Its totient is φ = 18065085696.

The previous prime is 55607299309. The next prime is 55607299369. The reversal of 55607299344 is 44399270655.

The square root of 55607299344 is 235812.

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

55607299344 is a `hidden beast` number, since 5 + 5 + 6 + 0 + 7 + 299 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48092490000 + 7514809344 = 219300^2 + 86688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121678764 + ... + 121679220.

Almost surely, 255607299344 is an apocalyptic number.

55607299344 is the 235812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55607299344

55607299344 is an abundant number, since it is smaller than the sum of its proper divisors (104068615509).

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

55607299344 is an equidigital number, since it uses as much as digits as its factorization.

55607299344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 55607299344 in words is "fifty-five billion, six hundred seven million, two hundred ninety-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 457 516 688 774 914 1032 1371 1548 1828 1849 2064 2742 3096 3656 3698 4113 5484 5547 6192 7312 7396 8226 10968 11094 14792 16452 16641 19651 21936 22188 29584 32904 33282 39302 44376 58953 65808 66564 78604 88752 117906 133128 157208 176859 208849 235812 266256 314416 353718 417698 471624 626547 707436 835396 844993 943248 1253094 1414872 1670792 1689986 1879641 2506188 2534979 2829744 3341584 3379972 3759282 5012376 5069958 6759944 7518564 7604937 8980507 10024752 10139916 13519888 15037128 15209874 17961014 20279832 26941521 30074256 30419748 35922028 40559664 53883042 60839496 71844056 80824563 107766084 121678992 143688112 161649126 215532168 323298252 386161801 431064336 646596504 772323602 1158485403 1293193008 1544647204 2316970806 3089294408 3475456209 4633941612 6178588816 6950912418 9267883224 13901824836 18535766448 27803649672 55607299344