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191290440132 = 22341167899001
BaseRepresentation
bin1011001000100111001…
…1000111100111000100
3200021202100201012110000
42302021303013213010
511113230323041012
6223513322001300
716551232625121
oct2621163074704
9607670635400
10191290440132
1174142514a40
12310a6946230
1315066aa055c
1493894b1748
154e98a18ddc
hex2c89cc79c4

191290440132 has 240 divisors, whose sum is σ = 559957527360. Its totient is φ = 56453760000.

The previous prime is 191290440113. The next prime is 191290440151. The reversal of 191290440132 is 231044092191.

191290440132 is a `hidden beast` number, since 191 + 29 + 0 + 440 + 1 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (191290440113) and next prime (191290440151).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21247632 + ... + 21256632.

It is an arithmetic number, because the mean of its divisors is an integer number (2333156364).

Almost surely, 2191290440132 is an apocalyptic number.

191290440132 is a gapful number since it is divisible by the number (12) 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 191290440132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279978763680).

191290440132 is an abundant number, since it is smaller than the sum of its proper divisors (368667087228).

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

191290440132 is a wasteful number, since it uses less digits than its factorization.

191290440132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 191290440132 in words is "one hundred ninety-one billion, two hundred ninety million, four hundred forty thousand, one hundred thirty-two".