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12456545000 = 23546613769
BaseRepresentation
bin10111001100111011…
…11100101011101000
31012011010012001100112
423212131330223220
5201002333420000
65420014553452
7620453612504
oct134635745350
935133161315
1012456545000
115312438699
1224b7808888
1312369135b3
14862501304
154cd8a3235
hex2e677cae8

12456545000 has 80 divisors (see below), whose sum is σ = 29237594100. Its totient is φ = 4973760000.

The previous prime is 12456544993. The next prime is 12456545033. The reversal of 12456545000 is 54565421.

It can be written as a sum of positive squares in 10 ways, for example, as 34550884 + 12421994116 = 5878^2 + 111454^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3303116 + ... + 3306884.

Almost surely, 212456545000 is an apocalyptic number.

12456545000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12456545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618797050).

12456545000 is an abundant number, since it is smaller than the sum of its proper divisors (16781049100).

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

12456545000 is an equidigital number, since it uses as much as digits as its factorization.

12456545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 12456545000 in words is "twelve billion, four hundred fifty-six million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 661 1000 1250 1322 2500 2644 3305 3769 5000 5288 6610 7538 13220 15076 16525 18845 26440 30152 33050 37690 66100 75380 82625 94225 132200 150760 165250 188450 330500 376900 413125 471125 661000 753800 826250 942250 1652500 1884500 2355625 2491309 3305000 3769000 4711250 4982618 9422500 9965236 12456545 18845000 19930472 24913090 49826180 62282725 99652360 124565450 249130900 311413625 498261800 622827250 1245654500 1557068125 2491309000 3114136250 6228272500 12456545000