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12434421680 = 245793719583
BaseRepresentation
bin10111001010010011…
…00011011110110000
31012002120120001212022
423211021203132300
5200431202443210
65413504451012
7620064561152
oct134511433660
935076501768
1012434421680
1153009a805a
1224b0319a68
131232168885
1485d5c2ad2
154cb983155
hex2e52637b0

12434421680 has 40 divisors (see below), whose sum is σ = 28915149312. Its totient is φ = 4972888064.

The previous prime is 12434421677. The next prime is 12434421709. The reversal of 12434421680 is 8612443421.

It is a happy number.

12434421680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×124344216802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12434421680.

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 7 ways as a sum of consecutive naturals, for example, 625169 + ... + 644751.

Almost surely, 212434421680 is an apocalyptic number.

12434421680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434421680 is an abundant number, since it is smaller than the sum of its proper divisors (16480727632).

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

12434421680 is a wasteful number, since it uses less digits than its factorization.

12434421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27533 (or 27527 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 12434421680 in words is "twelve billion, four hundred thirty-four million, four hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7937 15874 19583 31748 39166 39685 63496 78332 79370 97915 126992 156664 158740 195830 313328 317480 391660 634960 783320 1566640 155430271 310860542 621721084 777151355 1243442168 1554302710 2486884336 3108605420 6217210840 12434421680