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91166016 = 2634571039
BaseRepresentation
bin1010110111100…
…01010101000000
320100112201021010
411123301111000
5141314303031
613014000520
72154620064
oct533612500
9210481233
1091166016
1147508417
1226646140
1315b6c8b6
14c171aa4
15800c246
hex56f1540

91166016 has 56 divisors (see below), whose sum is σ = 241970560. Its totient is φ = 30292992.

The previous prime is 91166011. The next prime is 91166017. The reversal of 91166016 is 61066119.

It is a happy number.

It is a super-2 number, since 2×911660162 = 16622484946624512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91166011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87225 + ... + 88263.

Almost surely, 291166016 is an apocalyptic number.

91166016 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 91166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120985280).

91166016 is an abundant number, since it is smaller than the sum of its proper divisors (150804544).

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

91166016 is a wasteful number, since it uses less digits than its factorization.

91166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 91166016 is about 9548.0896518623. The cubic root of 91166016 is about 450.0675059221.

The spelling of 91166016 in words is "ninety-one million, one hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 457 914 1039 1371 1828 2078 2742 3117 3656 4156 5484 6234 7312 8312 10968 12468 14624 16624 21936 24936 29248 33248 43872 49872 66496 87744 99744 199488 474823 949646 1424469 1899292 2848938 3798584 5697876 7597168 11395752 15194336 22791504 30388672 45583008 91166016