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12497874480 = 2433571326773
BaseRepresentation
bin10111010001110111…
…00110111000110000
31012020222221210202000
423220323212320300
5201043423440410
65424052454000
7621465115560
oct135073467060
935228853660
1012497874480
1153337a7093
12250961a300
131242354300
14867bbcda0
154d2318dc0
hex2e8ee6e30

12497874480 has 960 divisors, whose sum is σ = 54809349120. Its totient is φ = 2561974272.

The previous prime is 12497874469. The next prime is 12497874503. The reversal of 12497874480 is 8447879421.

12497874480 is a `hidden beast` number, since 1 + 2 + 4 + 97 + 8 + 74 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 171203724 + ... + 171203796.

It is an arithmetic number, because the mean of its divisors is an integer number (57093072).

Almost surely, 212497874480 is an apocalyptic number.

12497874480 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 12497874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27404674560).

12497874480 is an abundant number, since it is smaller than the sum of its proper divisors (42311474640).

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

12497874480 is a wasteful number, since it uses less digits than its factorization.

12497874480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 12497874480 in words is "twelve billion, four hundred ninety-seven million, eight hundred seventy-four thousand, four hundred eighty".