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61843700734816 = 25711131930684963
BaseRepresentation
bin11100000111111000110111…
…10100000101101101100000
322002222012101211121000201211
432003330123310011231200
531101221344342003231
6335310334235435504
716012026361544560
oct1603743364055540
9262865354530654
1061843700734816
1118783847891660
126b298822b5b94
132867ab3796160
14113b372da4da0
15723a6ae51eb1
hex383f1bd05b60

61843700734816 has 96 divisors (see below), whose sum is σ = 163474957271808. Its totient is φ = 22241490762240.

The previous prime is 61843700734771. The next prime is 61843700734841.

61843700734816 is nontrivially palindromic in base 10.

61843700734816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965310450 + ... + 965374513.

It is an arithmetic number, because the mean of its divisors is an integer number (1702864138248).

Almost surely, 261843700734816 is an apocalyptic number.

It is an amenable number.

61843700734816 is an abundant number, since it is smaller than the sum of its proper divisors (101631256536992).

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

61843700734816 is a wasteful number, since it uses less digits than its factorization.

61843700734816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930685004 (or 1930684996 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 61843700734816 in words is "sixty-one trillion, eight hundred forty-three billion, seven hundred million, seven hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 1930684963 3861369926 7722739852 13514794741 15445479704 21237534593 25098904519 27029589482 30890959408 42475069186 50197809038 54059178964 61781918816 84950138372 100395618076 108118357928 148662742151 169900276744 175692331633 200791236152 216236715856 276087949709 297325484302 339800553488 351384663266 401582472304 432473431712 552175899418 594650968604 679601106976 702769326532 803164944608 1104351798836 1189301937208 1405538653064 1932615647963 2208703597672 2378603874416 2811077306128 3865231295926 4417407195344 4757207748832 5622154612256 7730462591852 8834814390688 15460925183704 30921850367408 61843700734816