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91265381352 = 23321267574741
BaseRepresentation
bin101010011111111010…
…1110011001111101000
322201120102220202000100
41110333311303033220
52443402414200402
6105532101505400
76410432641005
oct1247765631750
9281512822010
1091265381352
1135783a23902
1215830712260
1387b6028c42
1445badaa8ac
1525924ce71c
hex153fd733e8

91265381352 has 24 divisors (see below), whose sum is σ = 247177074690. Its totient is φ = 30421793760.

The previous prime is 91265381327. The next prime is 91265381353. The reversal of 91265381352 is 25318356219.

91265381352 is a `hidden beast` number, since 9 + 1 + 265 + 38 + 1 + 352 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51462737316 + 39802644036 = 226854^2 + 199506^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 91265381298 and 91265381307.

It is not an unprimeable number, because it can be changed into a prime (91265381353) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 633787299 + ... + 633787442.

Almost surely, 291265381352 is an apocalyptic number.

It is an amenable number.

91265381352 is an abundant number, since it is smaller than the sum of its proper divisors (155911693338).

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

91265381352 is a wasteful number, since it uses less digits than its factorization.

91265381352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267574753 (or 1267574746 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 91265381352 in words is "ninety-one billion, two hundred sixty-five million, three hundred eighty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1267574741 2535149482 3802724223 5070298964 7605448446 10140597928 11408172669 15210896892 22816345338 30421793784 45632690676 91265381352