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12964592192 = 26436770313
BaseRepresentation
bin11000001001011111…
…11111101001000000
31020110112011112002012
430010233333221000
5203022413422232
65542244112052
7636163133606
oct140457775100
936415145065
1012964592192
1155531a1002
122619995628
1312b7c55436
148adb8d876
1550d2aa9b2
hex304bffa40

12964592192 has 56 divisors (see below), whose sum is σ = 26718194976. Its totient is φ = 6236955648.

The previous prime is 12964592159. The next prime is 12964592197. The reversal of 12964592192 is 29129546921.

12964592192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12964592192.

It is not an unprimeable number, because it can be changed into a prime (12964592197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149228 + ... + 219540.

Almost surely, 212964592192 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 12964592192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359097488).

12964592192 is an abundant number, since it is smaller than the sum of its proper divisors (13753602784).

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

12964592192 is an equidigital number, since it uses as much as digits as its factorization.

12964592192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70435 (or 70425 counting only the distinct ones).

The product of its digits is 699840, while the sum is 50.

The spelling of 12964592192 in words is "twelve billion, nine hundred sixty-four million, five hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 43 64 67 86 134 172 268 344 536 688 1072 1376 2144 2752 2881 4288 5762 11524 23048 46096 70313 92192 140626 184384 281252 562504 1125008 2250016 3023459 4500032 4710971 6046918 9421942 12093836 18843884 24187672 37687768 48375344 75375536 96750688 150751072 193501376 202571753 301502144 405143506 810287012 1620574024 3241148048 6482296096 12964592192