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12412145776 = 242347717631
BaseRepresentation
bin10111000111101001…
…00101000001110000
31012001000122100001211
423203310211001300
5200410002131101
65411351205504
7616404332632
oct134364450160
935030570054
1012412145776
11529a372918
1224a4976894
13122a669574
1485a664a52
154c9a32c51
hex2e3d25070

12412145776 has 40 divisors (see below), whose sum is σ = 25628073984. Its totient is φ = 5809932480.

The previous prime is 12412145761. The next prime is 12412145797. The reversal of 12412145776 is 67754121421.

It is a super-2 number, since 2×124121457762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341520 + ... + 376111.

Almost surely, 212412145776 is an apocalyptic number.

12412145776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12412145776 is an abundant number, since it is smaller than the sum of its proper divisors (13215928208).

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

12412145776 is a wasteful number, since it uses less digits than its factorization.

12412145776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717709 (or 717703 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The spelling of 12412145776 in words is "twelve billion, four hundred twelve million, one hundred forty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 752 1081 2162 4324 8648 17296 717631 1435262 2870524 5741048 11482096 16505513 33011026 33728657 66022052 67457314 132044104 134914628 264088208 269829256 539658512 775759111 1551518222 3103036444 6206072888 12412145776