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12545387640 = 233251910317807
BaseRepresentation
bin10111010111100001…
…10110110001111000
31012101022100201112200
423223300312301320
5201143104401030
65432511110200
7622613015112
oct135360666170
935338321480
1012545387640
1153585a9465
122521512360
13124c14b7c6
1487022a3b2
154d65a1d60
hex2ebc36c78

12545387640 has 192 divisors, whose sum is σ = 43337548800. Its totient is φ = 3138414336.

The previous prime is 12545387639. The next prime is 12545387681. The reversal of 12545387640 is 4678354521.

12545387640 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 538 + 76 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 695617 + ... + 713423.

It is an arithmetic number, because the mean of its divisors is an integer number (225716400).

Almost surely, 212545387640 is an apocalyptic number.

12545387640 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 12545387640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21668774400).

12545387640 is an abundant number, since it is smaller than the sum of its proper divisors (30792161160).

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

12545387640 is a wasteful number, since it uses less digits than its factorization.

12545387640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17946 (or 17939 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 12545387640 in words is "twelve billion, five hundred forty-five million, three hundred eighty-seven thousand, six hundred forty".