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12705837456 = 2431343473533
BaseRepresentation
bin10111101010101001…
…11011000110010000
31012210111021102022110
423311110323012100
5202010143244311
65500442105320
7626601556614
oct136524730620
935714242273
1012705837456
115430128814
1225671ab240
131276468c20
14887675344
154e56e78a6
hex2f553b190

12705837456 has 80 divisors (see below), whose sum is σ = 36170421056. Its totient is φ = 3818562048.

The previous prime is 12705837427. The next prime is 12705837493. The reversal of 12705837456 is 65473850721.

12705837456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127058374562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 209935 + ... + 263598.

Almost surely, 212705837456 is an apocalyptic number.

12705837456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12705837456 is an abundant number, since it is smaller than the sum of its proper divisors (23464583600).

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

12705837456 is a wasteful number, since it uses less digits than its factorization.

12705837456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473600 (or 473594 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 12705837456 in words is "twelve billion, seven hundred five million, eight hundred thirty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 6708 8944 13416 26832 473533 947066 1420599 1894132 2841198 3788264 5682396 6155929 7576528 11364792 12311858 18467787 20361919 22729584 24623716 36935574 40723838 49247432 61085757 73871148 81447676 98494864 122171514 147742296 162895352 244343028 264704947 295484592 325790704 488686056 529409894 794114841 977372112 1058819788 1588229682 2117639576 3176459364 4235279152 6352918728 12705837456