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12954989952 = 273211245651
BaseRepresentation
bin11000001000010110…
…10111010110000000
31020102212002200021200
430010023113112000
5203012434134302
65541302221200
7636015412002
oct140413272600
936385080250
1012954989952
115548832773
122616724800
1312b5c72938
148ac7b0372
1550c51081c
hex3042d7580

12954989952 has 48 divisors (see below), whose sum is σ = 37279336380. Its totient is φ = 4318329600.

The previous prime is 12954989951. The next prime is 12954990007. The reversal of 12954989952 is 25998945921.

12954989952 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 498 + 99 + 52 = 666.

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 12954989952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12954989951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5621674 + ... + 5623977.

Almost surely, 212954989952 is an apocalyptic number.

12954989952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12954989952 is an abundant number, since it is smaller than the sum of its proper divisors (24324346428).

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

12954989952 is a wasteful number, since it uses less digits than its factorization.

12954989952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245671 (or 11245656 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 63.

The spelling of 12954989952 in words is "twelve billion, nine hundred fifty-four million, nine hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11245651 22491302 33736953 44982604 67473906 89965208 101210859 134947812 179930416 202421718 269895624 359860832 404843436 539791248 719721664 809686872 1079582496 1439443328 1619373744 2159164992 3238747488 4318329984 6477494976 12954989952