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55110514816 = 277285310301
BaseRepresentation
bin110011010100110101…
…111011100010000000
312021020202011020000101
4303110311323202000
51400331242433231
641152321332144
73660455434600
oct632465734200
9167222136011
1055110514816
11214104a3515
12a820497054
1352737840a6
14294b35cc00
15167837b661
hexcd4d7b880

55110514816 has 96 divisors (see below), whose sum is σ = 127877592780. Its totient is φ = 23588812800.

The previous prime is 55110514793. The next prime is 55110514829. The reversal of 55110514816 is 61841501155.

It can be written as a sum of positive squares in 2 ways, for example, as 55082212416 + 28302400 = 234696^2 + 5320^2 .

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 11 ways as a sum of consecutive naturals, for example, 5344866 + ... + 5355166.

Almost surely, 255110514816 is an apocalyptic number.

55110514816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55110514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63938796390).

55110514816 is an abundant number, since it is smaller than the sum of its proper divisors (72767077964).

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

55110514816 is a wasteful number, since it uses less digits than its factorization.

55110514816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 37.

The spelling of 55110514816 in words is "fifty-five billion, one hundred ten million, five hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 853 896 1568 1706 3136 3412 5971 6272 6824 10301 11942 13648 20602 23884 27296 41204 41797 47768 54592 72107 82408 83594 95536 109184 144214 164816 167188 191072 288428 329632 334376 382144 504749 576856 659264 668752 764288 1009498 1153712 1318528 1337504 2018996 2307424 2675008 4037992 4614848 5350016 8075984 8786753 9229696 16151968 17573506 32303936 35147012 61507271 64607872 70294024 123014542 140588048 246029084 281176096 430550897 492058168 562352192 861101794 984116336 1124704384 1722203588 1968232672 3444407176 3936465344 6888814352 7872930688 13777628704 27555257408 55110514816