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12923891992 = 23112937313577
BaseRepresentation
bin11000000100101001…
…01111000100011000
31020100200120201220101
430002110233010120
5202432004020432
65534231505144
7635160161254
oct140224570430
936320521811
1012923891992
115532222380
1226082281b4
1312ac6a4c8b
148a85d7264
1550991b4e7
hex30252f118

12923891992 has 64 divisors (see below), whose sum is σ = 27422128800. Its totient is φ = 5656304640.

The previous prime is 12923891987. The next prime is 12923891993. The reversal of 12923891992 is 29919832921.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12923891993) 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 15 ways as a sum of consecutive naturals, for example, 945108 + ... + 958684.

Almost surely, 212923891992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12923891992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711064400).

12923891992 is an abundant number, since it is smaller than the sum of its proper divisors (14498236808).

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

12923891992 is a wasteful number, since it uses less digits than its factorization.

12923891992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13996 (or 13992 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 55.

The spelling of 12923891992 in words is "twelve billion, nine hundred twenty-three million, eight hundred ninety-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 373 638 746 1276 1492 2552 2984 4103 8206 10817 13577 16412 21634 27154 32824 43268 54308 86536 108616 118987 149347 237974 298694 393733 475948 597388 787466 951896 1194776 1574932 3149864 4331063 5064221 8662126 10128442 17324252 20256884 34648504 40513768 55706431 111412862 146862409 222825724 293724818 445651448 587449636 1174899272 1615486499 3230972998 6461945996 12923891992