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91188148014 = 23247829130021
BaseRepresentation
bin101010011101100111…
…1001011011100101110
322201101001120212210100
41110323033023130232
52443223131214024
6105520302251530
76405504316635
oct1247317133456
9281331525710
1091188148014
11357443722a7
121580a886ba6
1387a3026c42
1445b0a2451c
15258a8257c9
hex153b3cb72e

91188148014 has 48 divisors (see below), whose sum is σ = 202022982720. Its totient is φ = 29713210560.

The previous prime is 91188147989. The next prime is 91188148057. The reversal of 91188148014 is 41084188119.

91188148014 is a `hidden beast` number, since 91 + 1 + 8 + 81 + 480 + 1 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636324 + ... + 766344.

It is an arithmetic number, because the mean of its divisors is an integer number (4208812140).

Almost surely, 291188148014 is an apocalyptic number.

91188148014 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

91188148014 is an abundant number, since it is smaller than the sum of its proper divisors (110834834706).

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

91188148014 is a wasteful number, since it uses less digits than its factorization.

91188148014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130905 (or 130902 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 91188148014 in words is "ninety-one billion, one hundred eighty-eight million, one hundred forty-eight thousand, fourteen".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 829 846 1658 2487 4974 7461 14922 38963 77926 116889 130021 233778 260042 350667 390063 701334 780126 1170189 2340378 6110987 12221974 18332961 36665922 54998883 107787409 109997766 215574818 323362227 646724454 970086681 1940173362 5066008223 10132016446 15198024669 30396049338 45594074007 91188148014