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12034931712 = 210315724953
BaseRepresentation
bin10110011010101011…
…00111110000000000
31011001201211212122120
423031111213300000
5144121420303322
65310114204240
7604144142316
oct131525476000
934051755576
1012034931712
115116450361
1223ba583680
13119a47548b
148225120b6
154a6870a5c
hex2cd567c00

12034931712 has 88 divisors (see below), whose sum is σ = 32283089616. Its totient is φ = 3985932288.

The previous prime is 12034931681. The next prime is 12034931747. The reversal of 12034931712 is 21713943021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469828 + ... + 494780.

Almost surely, 212034931712 is an apocalyptic number.

12034931712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12034931712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16141544808).

12034931712 is an abundant number, since it is smaller than the sum of its proper divisors (20248157904).

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

12034931712 is a wasteful number, since it uses less digits than its factorization.

12034931712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25133 (or 25115 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 12034931712 in words is "twelve billion, thirty-four million, nine hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 512 628 768 942 1024 1256 1536 1884 2512 3072 3768 5024 7536 10048 15072 20096 24953 30144 40192 49906 60288 74859 80384 99812 120576 149718 160768 199624 241152 299436 399248 482304 598872 798496 1197744 1596992 2395488 3193984 3917621 4790976 6387968 7835242 9581952 11752863 12775936 15670484 19163904 23505726 25551872 31340968 38327808 47011452 62681936 76655616 94022904 125363872 188045808 250727744 376091616 501455488 752183232 1002910976 1504366464 2005821952 3008732928 4011643904 6017465856 12034931712