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13856970000 = 243541273637
BaseRepresentation
bin11001110011111000…
…01001010100010000
31022202201100000022010
430321330021110100
5211334341020000
610211002542520
71000250205306
oct147174112420
938681300263
1013856970000
115970997725
122828807a40
1313caab0643
149564c4276
155617cdd50
hex339f09510

13856970000 has 200 divisors, whose sum is σ = 45096764416. Its totient is φ = 3665088000.

The previous prime is 13856969999. The next prime is 13856970019. The reversal of 13856970000 is 7965831.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 3808182 + ... + 3811818.

Almost surely, 213856970000 is an apocalyptic number.

13856970000 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 13856970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22548382208).

13856970000 is an abundant number, since it is smaller than the sum of its proper divisors (31239794416).

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

13856970000 is a wasteful number, since it uses less digits than its factorization.

13856970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 13856970000 in words is "thirteen billion, eight hundred fifty-six million, nine hundred seventy thousand".