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12417974520 = 2335773313647
BaseRepresentation
bin10111001000010101…
…10100000011111000
31012001102121110121020
423210022310003320
5200413000141040
65412120142440
7616505020230
oct134412640370
935042543536
1012417974520
1152a2694066
1224a6907a20
13122b92a623
1485b340cc0
154ca2d4cd0
hex2e42b40f8

12417974520 has 256 divisors, whose sum is σ = 43363952640. Its totient is φ = 2786254848.

The previous prime is 12417974483. The next prime is 12417974531. The reversal of 12417974520 is 2547971421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19192837 + ... + 19193483.

It is an arithmetic number, because the mean of its divisors is an integer number (169390440).

Almost surely, 212417974520 is an apocalyptic number.

12417974520 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 12417974520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21681976320).

12417974520 is an abundant number, since it is smaller than the sum of its proper divisors (30945978120).

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

12417974520 is a wasteful number, since it uses less digits than its factorization.

12417974520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 12417974520 in words is "twelve billion, four hundred seventeen million, nine hundred seventy-four thousand, five hundred twenty".