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1132125911424 = 2735435091663
BaseRepresentation
bin10000011110010111111…
…101100111100110000000
311000020012210122011100000
4100132113331213212000
5122022043213131144
62224031431200000
7144536064316614
oct20362775474600
94006183564300
101132125911424
113a714a620812
121634b6816000
13829b3731211
143cb1bdc5344
151e6b105e769
hex10797f67980

1132125911424 has 384 divisors, whose sum is σ = 3465913651200. Its totient is φ = 367653758976.

The previous prime is 1132125911383. The next prime is 1132125911443. The reversal of 1132125911424 is 4241195212311.

1132125911424 is a `hidden beast` number, since 1 + 1 + 3 + 21 + 2 + 591 + 1 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680772417 + ... + 680774079.

It is an arithmetic number, because the mean of its divisors is an integer number (9025816800).

Almost surely, 21132125911424 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 1132125911424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732956825600).

1132125911424 is an abundant number, since it is smaller than the sum of its proper divisors (2333787739776).

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

1132125911424 is an equidigital number, since it uses as much as digits as its factorization.

1132125911424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2220 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 1132125911424 in words is "one trillion, one hundred thirty-two billion, one hundred twenty-five million, nine hundred eleven thousand, four hundred twenty-four".