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55500704766 = 236134171419
BaseRepresentation
bin110011101100000110…
…011000101111111110
312022020221100221000000
4303230012120233332
51402131140023031
641255140415130
74003234130613
oct635406305776
9168227327000
1055500704766
11215a0778a51
12a90b0a74a6
13530656c410
1429870cc50a
15169c7533e6
hexcec198bfe

55500704766 has 112 divisors (see below), whose sum is σ = 137701473840. Its totient is φ = 16660391040.

The previous prime is 55500704741. The next prime is 55500704789. The reversal of 55500704766 is 66740700555.

55500704766 is a `hidden beast` number, since 5 + 5 + 500 + 70 + 4 + 76 + 6 = 666.

It is a super-2 number, since 2×555007047662 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 741405 + ... + 812823.

It is an arithmetic number, because the mean of its divisors is an integer number (1229477445).

Almost surely, 255500704766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55500704766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68850736920).

55500704766 is an abundant number, since it is smaller than the sum of its proper divisors (82200769074).

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

55500704766 is a wasteful number, since it uses less digits than its factorization.

55500704766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71493 (or 71478 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 55500704766 in words is "fifty-five billion, five hundred million, seven hundred four thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 243 246 351 369 486 533 702 729 738 1053 1066 1107 1458 1599 2106 2214 3159 3198 3321 4797 6318 6642 9477 9594 9963 14391 18954 19926 28782 29889 43173 59778 71419 86346 129519 142838 214257 259038 388557 428514 642771 777114 928447 1285542 1856894 1928313 2785341 2928179 3856626 5570682 5784939 5856358 8356023 8784537 11569878 16712046 17354817 17569074 25068069 26353611 34709634 38066327 50136138 52064451 52707222 75204207 76132654 79060833 104128902 114198981 150408414 158121666 225612621 228397962 237182499 342596943 451225242 474364998 676837863 685193886 711547497 1027790829 1353675726 1423094994 2055581658 2134642491 3083372487 4269284982 6166744974 9250117461 18500234922 27750352383 55500704766