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12445505424 = 2432117857011
BaseRepresentation
bin10111001011100111…
…10101011110010000
31012010100102011220100
423211303311132100
5200442022133144
65414542212400
7620261023242
oct134563653620
935110364810
1012445505424
115307188480
1224b3b84100
1312345497c1
14860c6a092
154cc922269
hex2e5cf5790

12445505424 has 60 divisors (see below), whose sum is σ = 37996510032. Its totient is φ = 3771364800.

The previous prime is 12445505393. The next prime is 12445505431. The reversal of 12445505424 is 42450554421.

12445505424 is a `hidden beast` number, since 1 + 24 + 45 + 50 + 542 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3926922 + ... + 3930089.

Almost surely, 212445505424 is an apocalyptic number.

It is an amenable number.

12445505424 is an abundant number, since it is smaller than the sum of its proper divisors (25551004608).

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

12445505424 is a wasteful number, since it uses less digits than its factorization.

12445505424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857036 (or 7857027 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 12445505424 in words is "twelve billion, four hundred forty-five million, five hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 7857011 15714022 23571033 31428044 47142066 62856088 70713099 86427121 94284132 125712176 141426198 172854242 188568264 259281363 282852396 345708484 377136528 518562726 565704792 691416968 777844089 1037125452 1131409584 1382833936 1555688178 2074250904 3111376356 4148501808 6222752712 12445505424