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91071370432 = 2675316323531
BaseRepresentation
bin101010011010001000…
…1101101010011000000
322201001220211222001201
41110310101231103000
52443003232323212
6105500531310544
76402555606340
oct1246421552300
9281056758051
1091071370432
11356944615a9
121579774b454
138784a8a993
14459d306d20
152580459b57
hex153446d4c0

91071370432 has 112 divisors (see below), whose sum is σ = 211733782272. Its totient is φ = 38057610240.

The previous prime is 91071370427. The next prime is 91071370447. The reversal of 91071370432 is 23407317019.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 91071370391 and 91071370400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3858507 + ... + 3882037.

Almost surely, 291071370432 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 91071370432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105866891136).

91071370432 is an abundant number, since it is smaller than the sum of its proper divisors (120662411840).

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

91071370432 is a wasteful number, since it uses less digits than its factorization.

91071370432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23766 (or 23756 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 91071370432 in words is "ninety-one billion, seventy-one million, three hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 163 212 224 326 371 424 448 652 742 848 1141 1304 1484 1696 2282 2608 2968 3392 4564 5216 5936 8639 9128 10432 11872 17278 18256 23531 23744 34556 36512 47062 60473 69112 73024 94124 120946 138224 164717 188248 241892 276448 329434 376496 483784 552896 658868 752992 967568 1247143 1317736 1505984 1935136 2494286 2635472 3835553 3870272 4988572 5270944 7671106 8730001 9977144 10541888 15342212 17460002 19954288 26848871 30684424 34920004 39908576 53697742 61368848 69840008 79817152 107395484 122737696 139680016 203284309 214790968 245475392 279360032 406568618 429581936 558720064 813137236 859163872 1422990163 1626274472 1718327744 2845980326 3252548944 5691960652 6505097888 11383921304 13010195776 22767842608 45535685216 91071370432