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55463016576 = 2731137354877
BaseRepresentation
bin110011101001110110…
…100111100010000000
312022011022110011112010
4303221312213202000
51402042013012301
641251312532520
74002265601532
oct635166474200
9168138404463
1055463016576
1121581477290
12a8ba551140
1352cb804c06
1429820bb852
1516992ab5d6
hexce9da7880

55463016576 has 128 divisors (see below), whose sum is σ = 165060855360. Its totient is φ = 16352686080.

The previous prime is 55463016551. The next prime is 55463016589. The reversal of 55463016576 is 67561036455.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×554630165762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21151 + ... + 333726.

Almost surely, 255463016576 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 55463016576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82530427680).

55463016576 is an abundant number, since it is smaller than the sum of its proper divisors (109597838784).

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

55463016576 is a wasteful number, since it uses less digits than its factorization.

55463016576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354942 (or 354930 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 55463016576 in words is "fifty-five billion, four hundred sixty-three million, sixteen thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 3256 3552 4224 4736 4884 6512 7104 9768 13024 14208 19536 26048 39072 52096 78144 156288 354877 709754 1064631 1419508 2129262 2839016 3903647 4258524 5678032 7807294 8517048 11356064 11710941 13130449 15614588 17034096 22712128 23421882 26260898 31229176 34068192 39391347 45424256 46843764 52521796 62458352 68136384 78782694 93687528 105043592 124916704 136272768 144434939 157565388 187375056 210087184 249833408 288869878 315130776 374750112 420174368 433304817 499666816 577739756 630261552 749500224 840348736 866609634 1155479512 1260523104 1499000448 1680697472 1733219268 2310959024 2521046208 3466438536 4621918048 5042092416 6932877072 9243836096 13865754144 18487672192 27731508288 55463016576