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12381392209888 = 251329762962043
BaseRepresentation
bin1011010000101100010001…
…1111000000011111100000
31121211122112111210210110201
42310023010133000133200
53110324042401204023
642155533312434544
72415345304215412
oct264130437003740
947748474723421
1012381392209888
113a43a12136069
12147b71b248a54
136ba738c05020
1430b3967409b2
15167105e04bad
hexb42c47c07e0

12381392209888 has 24 divisors (see below), whose sum is σ = 26250932522808. Its totient is φ = 5714488712064.

The previous prime is 12381392209873. The next prime is 12381392209897. The reversal of 12381392209888 is 88890229318321.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14881480606 + ... + 14881481437.

It is an arithmetic number, because the mean of its divisors is an integer number (1093788855117).

Almost surely, 212381392209888 is an apocalyptic number.

It is an amenable number.

12381392209888 is an abundant number, since it is smaller than the sum of its proper divisors (13869540312920).

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

12381392209888 is a wasteful number, since it uses less digits than its factorization.

12381392209888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29762962066 (or 29762962058 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 64.

The spelling of 12381392209888 in words is "twelve trillion, three hundred eighty-one billion, three hundred ninety-two million, two hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 29762962043 59525924086 119051848172 238103696344 386918506559 476207392688 773837013118 952414785376 1547674026236 3095348052472 6190696104944 12381392209888