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91683425856 = 26311271316001
BaseRepresentation
bin101010101100011000…
…0100000111001000000
322202122120112121021010
41111120300200321000
53000231424111411
6110041354000520
76424000155441
oct1253060407100
9282576477233
1091683425856
11359789a3930
1215928716140
138851817859
14461a70b2c8
1525b90597a6
hex1558c20e40

91683425856 has 112 divisors (see below), whose sum is σ = 264745793088. Its totient is φ = 27770880000.

The previous prime is 91683425851. The next prime is 91683425927. The reversal of 91683425856 is 65852438619.

It is a junction number, because it is equal to n+sod(n) for n = 91683425796 and 91683425805.

It is not an unprimeable number, because it can be changed into a prime (91683425851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5721856 + ... + 5737856.

It is an arithmetic number, because the mean of its divisors is an integer number (2363801724).

Almost surely, 291683425856 is an apocalyptic number.

91683425856 is a gapful number since it is divisible by the number (96) 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 91683425856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132372896544).

91683425856 is an abundant number, since it is smaller than the sum of its proper divisors (173062367232).

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

91683425856 is a wasteful number, since it uses less digits than its factorization.

91683425856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18740 (or 18730 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 57.

The spelling of 91683425856 in words is "ninety-one billion, six hundred eighty-three million, four hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2713 5426 8139 10852 16001 16278 21704 29843 32002 32556 43408 48003 59686 64004 65112 86816 89529 96006 119372 128008 130224 173632 176011 179058 192012 238744 256016 260448 352022 358116 384024 477488 512032 520896 528033 704044 716232 768048 954976 1024064 1056066 1408088 1432464 1536096 1909952 2112132 2816176 2864928 3072192 4224264 5632352 5729856 8448528 11264704 16897056 33794112 43410713 86821426 130232139 173642852 260464278 347285704 477517843 520928556 694571408 955035686 1041857112 1389142816 1432553529 1910071372 2083714224 2778285632 2865107058 3820142744 4167428448 5730214116 7640285488 8334856896 11460428232 15280570976 22920856464 30561141952 45841712928 91683425856