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12086428128 = 253831516871
BaseRepresentation
bin10110100000110100…
…00100000111100000
31011012022202011110020
423100122010013200
5144223111200003
65315154033440
7605340641535
oct132032040740
934168664406
1012086428128
115142523385
122413878880
1311a8035a28
148292b8d8c
154ab143d53
hex2d06841e0

12086428128 has 48 divisors (see below), whose sum is σ = 32109146496. Its totient is φ = 3980266880.

The previous prime is 12086428127. The next prime is 12086428141. The reversal of 12086428128 is 82182468021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12086428128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12086428127) 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, 750468 + ... + 766403.

It is an arithmetic number, because the mean of its divisors is an integer number (668940552).

Almost surely, 212086428128 is an apocalyptic number.

It is an amenable number.

12086428128 is an abundant number, since it is smaller than the sum of its proper divisors (20022718368).

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

12086428128 is a wasteful number, since it uses less digits than its factorization.

12086428128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516967 (or 1516959 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 12086428128 in words is "twelve billion, eighty-six million, four hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 1516871 3033742 4550613 6067484 9101226 12134968 18202452 24269936 36404904 48539872 72809808 125900293 145619616 251800586 377700879 503601172 755401758 1007202344 1510803516 2014404688 3021607032 4028809376 6043214064 12086428128