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55601066610 = 232537101165317
BaseRepresentation
bin110011110010000101…
…001111001001110010
312022111221012211120100
4303302011033021302
51402332333112420
641313123453230
74005563161005
oct636205171162
9168457184510
1055601066610
1121642397321
12a938827216
1353212ab81b
14299657553c
1516a647a190
hexcf214f272

55601066610 has 96 divisors (see below), whose sum is σ = 149940780912. Its totient is φ = 14283302400.

The previous prime is 55601066579. The next prime is 55601066639. The reversal of 55601066610 is 1666010655.

55601066610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 31247279361 + 24353787249 = 176769^2 + 156057^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253672 + ... + 418988.

Almost surely, 255601066610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55601066610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74970390456).

55601066610 is an abundant number, since it is smaller than the sum of its proper divisors (94339714302).

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

55601066610 is a wasteful number, since it uses less digits than its factorization.

55601066610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165468 (or 165465 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 55601066610 in words is "fifty-five billion, six hundred one million, sixty-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 101 111 185 202 222 303 333 370 505 555 606 666 909 1010 1110 1515 1665 1818 3030 3330 3737 4545 7474 9090 11211 18685 22422 33633 37370 56055 67266 112110 165317 168165 330634 336330 495951 826585 991902 1487853 1653170 2479755 2975706 4959510 6116729 7439265 12233458 14878530 16697017 18350187 30583645 33394034 36700374 50091051 55050561 61167290 83485085 91750935 100182102 110101122 150273153 166970170 183501870 250455255 275252805 300546306 500910510 550505610 617789629 751365765 1235579258 1502731530 1853368887 3088948145 3706737774 5560106661 6177896290 9266844435 11120213322 18533688870 27800533305 55601066610