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12002029979832 = 2332583928548529
BaseRepresentation
bin1010111010100111000010…
…1110111100100010111000
31120111101100002211202121200
42232221300232330202320
53033120124133323312
641305353443334200
72346055330400034
oct256516056744270
946441302752550
1012002029979832
11390803a038792
12141a0a7681360
13690a2c132999
142d6c8943d1c4
1515c3012560dc
hexaea70bbc8b8

12002029979832 has 48 divisors (see below), whose sum is σ = 32511065964000. Its totient is φ = 3999991355136.

The previous prime is 12002029979777. The next prime is 12002029979869. The reversal of 12002029979832 is 23897992020021.

12002029979832 is a `hidden beast` number, since 1 + 200 + 2 + 0 + 299 + 79 + 83 + 2 = 666.

It is a super-2 number, since 2×120020299798322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13853857 + ... + 14694672.

It is an arithmetic number, because the mean of its divisors is an integer number (677313874250).

Almost surely, 212002029979832 is an apocalyptic number.

12002029979832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002029979832 is an abundant number, since it is smaller than the sum of its proper divisors (20509035984168).

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

12002029979832 is a wasteful number, since it uses less digits than its factorization.

12002029979832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28554380 (or 28554373 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 12002029979832 in words is "twelve trillion, two billion, twenty-nine million, nine hundred seventy-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5839 11678 17517 23356 35034 46712 52551 70068 105102 140136 210204 420408 28548529 57097058 85645587 114194116 171291174 228388232 256936761 342582348 513873522 685164696 1027747044 2055494088 166694860831 333389721662 500084582493 666779443324 1000169164986 1333558886648 1500253747479 2000338329972 3000507494958 4000676659944 6001014989916 12002029979832