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2755364352 = 29313178117
BaseRepresentation
bin1010010000111011…
…1000011000000000
321010000201000022120
42210032320120000
521120333124402
61133225004240
7125165132136
oct24416703000
97100630276
102755364352
111194371024
1264a923680
1334bacc710
141c1d25756
15111d6e3bc
hexa43b8600

2755364352 has 160 divisors (see below), whose sum is σ = 8371151712. Its totient is φ = 797835264.

The previous prime is 2755364329. The next prime is 2755364459. The reversal of 2755364352 is 2534635572.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335398 + ... + 343514.

Almost surely, 22755364352 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 2755364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185575856).

2755364352 is an abundant number, since it is smaller than the sum of its proper divisors (5615787360).

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

2755364352 is a wasteful number, since it uses less digits than its factorization.

2755364352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8168 (or 8152 counting only the distinct ones).

The product of its digits is 756000, while the sum is 42.

The square root of 2755364352 is about 52491.5645794636. The cubic root of 2755364352 is about 1401.9300509192.

The spelling of 2755364352 in words is "two billion, seven hundred fifty-five million, three hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 512 544 624 663 768 816 832 884 1088 1248 1326 1536 1632 1664 1768 2176 2496 2652 3264 3328 3536 4352 4992 5304 6528 6656 7072 8117 8704 9984 10608 13056 14144 16234 19968 21216 24351 26112 28288 32468 42432 48702 56576 64936 84864 97404 105521 113152 129872 137989 169728 194808 211042 259744 275978 316563 339456 389616 413967 422084 519488 551956 633126 779232 827934 844168 1038976 1103912 1266252 1558464 1655868 1688336 1793857 2077952 2207824 2532504 3116928 3311736 3376672 3587714 4155904 4415648 5065008 5381571 6233856 6623472 6753344 7175428 8831296 10130016 10763142 12467712 13246944 13506688 14350856 17662592 20260032 21526284 26493888 27013376 28701712 35325184 40520064 43052568 52987776 54026752 57403424 70650368 81040128 86105136 105975552 114806848 162080256 172210272 211951104 229613696 344420544 459227392 688841088 918454784 1377682176 2755364352