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13074783696 = 24331323153109
BaseRepresentation
bin11000010110101000…
…10101110111010000
31020202012111211102000
430023110111313100
5203234121034241
610001221554000
7642001553622
oct141324256720
936665454360
1013074783696
1155aa413567
12264a875900
131304a26a00
148c0674c12
15517cc4eb6
hex30b515dd0

13074783696 has 480 divisors, whose sum is σ = 43132953600. Its totient is φ = 3784734720.

The previous prime is 13074783653. The next prime is 13074783697. The reversal of 13074783696 is 69638747031.

13074783696 is a `hidden beast` number, since 130 + 7 + 478 + 36 + 9 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13074783697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119952090 + ... + 119952198.

It is an arithmetic number, because the mean of its divisors is an integer number (89860320).

Almost surely, 213074783696 is an apocalyptic number.

13074783696 is a gapful number since it is divisible by the number (16) 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 13074783696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21566476800).

13074783696 is an abundant number, since it is smaller than the sum of its proper divisors (30058169904).

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

13074783696 is a wasteful number, since it uses less digits than its factorization.

13074783696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 13074783696 in words is "thirteen billion, seventy-four million, seven hundred eighty-three thousand, six hundred ninety-six".