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13696251383808 = 212327311712141
BaseRepresentation
bin1100011101001110100000…
…1100101101000000000000
31210111100102022022111022200
43013103220030231000000
53243344410323240213
645043545424033200
72612343606615630
oct307235014550000
953440368274280
1013696251383808
114400602933584
121652512a62800
1378472160c166
14354c8b5326c0
1518b40e5c3273
hexc74e832d000

13696251383808 has 312 divisors, whose sum is σ = 46672388246016. Its totient is φ = 3786979737600.

The previous prime is 13696251383783. The next prime is 13696251383827. The reversal of 13696251383808 is 80838315269631.

13696251383808 is a `hidden beast` number, since 1 + 3 + 69 + 62 + 5 + 138 + 380 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7143418 + ... + 8855558.

It is an arithmetic number, because the mean of its divisors is an integer number (149590987968).

Almost surely, 213696251383808 is an apocalyptic number.

13696251383808 is a gapful number since it is divisible by the number (18) 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 13696251383808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23336194123008).

13696251383808 is an abundant number, since it is smaller than the sum of its proper divisors (32976136862208).

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

13696251383808 is a wasteful number, since it uses less digits than its factorization.

13696251383808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712209 (or 1712184 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 13696251383808 in words is "thirteen trillion, six hundred ninety-six billion, two hundred fifty-one million, three hundred eighty-three thousand, eight hundred eight".