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55610519568 = 24331476471229
BaseRepresentation
bin110011110010101001…
…010011000000010000
312022112121000002120220
4303302221103000100
51402342243111233
641314102233040
74006036421442
oct636251230020
9168477002526
1055610519568
112164776348a
12a93ba25780
13532323b3a6
142997916492
1516a71e5eb3
hexcf2a53010

55610519568 has 160 divisors (see below), whose sum is σ = 151807426560. Its totient is φ = 17515799040.

The previous prime is 55610519539. The next prime is 55610519603. The reversal of 55610519568 is 86591501655.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55610519568.

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, 45247978 + ... + 45249206.

It is an arithmetic number, because the mean of its divisors is an integer number (948796416).

Almost surely, 255610519568 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 55610519568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75903713280).

55610519568 is an abundant number, since it is smaller than the sum of its proper divisors (96196906992).

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

55610519568 is a wasteful number, since it uses less digits than its factorization.

55610519568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 51.

The spelling of 55610519568 in words is "fifty-five billion, six hundred ten million, five hundred nineteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 372 376 496 564 647 744 752 1128 1229 1294 1457 1488 1941 2256 2458 2588 2914 3687 3882 4371 4916 5176 5828 7374 7764 8742 9832 10352 11656 14748 15528 17484 19664 20057 23312 29496 30409 31056 34968 38099 40114 57763 58992 60171 60818 69936 76198 80228 91227 114297 115526 120342 121636 152396 160456 173289 182454 228594 231052 240684 243272 304792 320912 346578 364908 457188 462104 481368 486544 609584 693156 729816 795163 914376 924208 942679 962736 1386312 1459632 1590326 1790653 1828752 1885358 2385489 2772624 2828037 3180652 3581306 3770716 4770978 5371959 5656074 6361304 7162612 7541432 9541956 10743918 11312148 12722608 14325224 15082864 19083912 21487836 22624296 24650053 28650448 37372661 38167824 42975672 45248592 49300106 73950159 74745322 85951344 98600212 112117983 147900318 149490644 197200424 224235966 295800636 298981288 394400848 448471932 591601272 597962576 896943864 1158552491 1183202544 1793887728 2317104982 3475657473 4634209964 6951314946 9268419928 13902629892 18536839856 27805259784 55610519568