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12375788032 = 2943659853
BaseRepresentation
bin10111000011010011…
…11000101000000000
31011221111020011121201
423201221320220000
5200321200204112
65404012030544
7615453314446
oct134151705000
934844204551
1012375788032
11528089a7a3
122494762454
131222c797ca
148558bcb96
154c6750257
hex2e1a78a00

12375788032 has 80 divisors (see below), whose sum is σ = 25370563680. Its totient is φ = 6027743232.

The previous prime is 12375787981. The next prime is 12375788057. The reversal of 12375788032 is 23088757321.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14508118 + ... + 14508970.

It is an arithmetic number, because the mean of its divisors is an integer number (317132046).

Almost surely, 212375788032 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 12375788032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12685281840).

12375788032 is an abundant number, since it is smaller than the sum of its proper divisors (12994775648).

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

12375788032 is an frugal number, since it uses more digits than its factorization.

12375788032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 12375788032 in words is "twelve billion, three hundred seventy-five million, seven hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 659 688 853 1318 1376 1706 2636 2752 3412 5272 5504 6824 10544 11008 13648 21088 22016 27296 28337 36679 42176 54592 56674 73358 84352 109184 113348 146716 168704 218368 226696 293432 337408 436736 453392 562127 586864 906784 1124254 1173728 1813568 2248508 2347456 3627136 4497016 4694912 7254272 8994032 9389824 14508544 17988064 18779648 24171461 35976128 48342922 71952256 96685844 143904512 193371688 287809024 386743376 773486752 1546973504 3093947008 6187894016 12375788032