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12437407020 = 2235207290117
BaseRepresentation
bin10111001010101001…
…11100010100101100
31012002210011201222110
423211110330110230
5200432434011040
65414052444020
7620132133603
oct134524742454
935083151873
1012437407020
115302656a85
1224b1319610
13123297264c
1485db5ca3a
154cbd72980
hex2e553c52c

12437407020 has 24 divisors (see below), whose sum is σ = 34824739824. Its totient is φ = 3316641856.

The previous prime is 12437407019. The next prime is 12437407057. The reversal of 12437407020 is 2070473421.

12437407020 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 2×124374070202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 103644999 + ... + 103645118.

It is an arithmetic number, because the mean of its divisors is an integer number (1451030826).

Almost surely, 212437407020 is an apocalyptic number.

12437407020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12437407020 is an abundant number, since it is smaller than the sum of its proper divisors (22387332804).

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

12437407020 is a wasteful number, since it uses less digits than its factorization.

12437407020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207290129 (or 207290127 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 12437407020 in words is "twelve billion, four hundred thirty-seven million, four hundred seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 207290117 414580234 621870351 829160468 1036450585 1243740702 2072901170 2487481404 3109351755 4145802340 6218703510 12437407020