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12505003344 = 2433171702751
BaseRepresentation
bin10111010010101101…
…10011010101010000
31012021111100222201000
423221112303111100
5201102240101334
65424505342000
7621612526461
oct135126632520
935244328630
1012505003344
115337826109
12250ba97900
13124397c082
14868b16d68
154d2c76299
hex2e95b3550

12505003344 has 80 divisors (see below), whose sum is σ = 38005424640. Its totient is φ = 3923136000.

The previous prime is 12505003339. The next prime is 12505003391. The reversal of 12505003344 is 44330050521.

12505003344 is a `hidden beast` number, since 125 + 0 + 500 + 3 + 34 + 4 = 666.

12505003344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 844032 + ... + 858719.

It is an arithmetic number, because the mean of its divisors is an integer number (475067808).

Almost surely, 212505003344 is an apocalyptic number.

It is an amenable number.

12505003344 is an abundant number, since it is smaller than the sum of its proper divisors (25500421296).

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

12505003344 is a wasteful number, since it uses less digits than its factorization.

12505003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702785 (or 1702773 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 12505003344 its reverse (44330050521), we get a palindrome (56835053865).

The spelling of 12505003344 in words is "twelve billion, five hundred five million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 1702751 3405502 5108253 6811004 10216506 13622008 15324759 20433012 27244016 28946767 30649518 40866024 45974277 57893534 61299036 81732048 86840301 91948554 115787068 122598072 173680602 183897108 231574136 245196144 260520903 347361204 367794216 463148272 521041806 694722408 735588432 781562709 1042083612 1389444816 1563125418 2084167224 3126250836 4168334448 6252501672 12505003344