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11714737104 = 243474632789
BaseRepresentation
bin10101110100100000…
…01011001111010000
31010020102100022020000
422322100023033100
5142442433041404
65214235250000
7563205423330
oct127220131720
933212308200
1011714737104
114a71733414
12232b2a9900
131149026805
147d1ba30c0
154886c3339
hex2ba40b3d0

11714737104 has 200 divisors, whose sum is σ = 38847156480. Its totient is φ = 3338641152.

The previous prime is 11714737081. The next prime is 11714737117. The reversal of 11714737104 is 40173741711.

It is a happy number.

11714737104 is a `hidden beast` number, since 1 + 171 + 473 + 7 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4198942 + ... + 4201730.

Almost surely, 211714737104 is an apocalyptic number.

11714737104 is a gapful number since it is divisible by the number (14) 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 11714737104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19423578240).

11714737104 is an abundant number, since it is smaller than the sum of its proper divisors (27132419376).

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

11714737104 is a wasteful number, since it uses less digits than its factorization.

11714737104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 11714737104 in words is "eleven billion, seven hundred fourteen million, seven hundred thirty-seven thousand, one hundred four".