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12420434096 = 247372997209
BaseRepresentation
bin10111001000101000…
…01100100010110000
31012001121020102111122
423210110030202300
5200414112342341
65412245001412
7616534643060
oct134424144260
935047212448
1012420434096
1152a4013a74
1224a76b3268
13122c2abcb5
1485b7c13a0
154ca61d94b
hex2e450c8b0

12420434096 has 40 divisors (see below), whose sum is σ = 28245707040. Its totient is φ = 5179175424.

The previous prime is 12420434077. The next prime is 12420434137. The reversal of 12420434096 is 69043402421.

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, 1494461 + ... + 1502748.

It is an arithmetic number, because the mean of its divisors is an integer number (706142676).

Almost surely, 212420434096 is an apocalyptic number.

12420434096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12420434096 is an abundant number, since it is smaller than the sum of its proper divisors (15825272944).

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

12420434096 is a wasteful number, since it uses less digits than its factorization.

12420434096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997261 (or 2997255 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 12420434096 in words is "twelve billion, four hundred twenty million, four hundred thirty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 2997209 5994418 11988836 20980463 23977672 41960926 47955344 83921852 110896733 167843704 221793466 335687408 443586932 776277131 887173864 1552554262 1774347728 3105108524 6210217048 12420434096