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12025151406 = 233222687989
BaseRepresentation
bin10110011001100000…
…10011111110101110
31011001001102222121000
423030300103332232
5144111414321111
65305124421130
7603665046312
oct131460237656
934031388530
1012025151406
115110980264
1223b72477a6
13119842c908
148210c7b42
154a5a8cc56
hex2ccc13fae

12025151406 has 16 divisors (see below), whose sum is σ = 26722558800. Its totient is φ = 4008383784.

The previous prime is 12025151389. The next prime is 12025151407. The reversal of 12025151406 is 60415152021.

12025151406 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 515 + 140 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12025151406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12025151407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111343941 + ... + 111344048.

It is an arithmetic number, because the mean of its divisors is an integer number (1670159925).

Almost surely, 212025151406 is an apocalyptic number.

12025151406 is an abundant number, since it is smaller than the sum of its proper divisors (14697407394).

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

12025151406 is a wasteful number, since it uses less digits than its factorization.

12025151406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222688000 (or 222687994 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 12025151406 in words is "twelve billion, twenty-five million, one hundred fifty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 222687989 445375978 668063967 1336127934 2004191901 4008383802 6012575703 12025151406