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13847193920 = 2657192231459
BaseRepresentation
bin11001110010101101…
…10110100101000000
31022202000221100001002
430321112312211000
5211324340201140
610210013231132
71000101130520
oct147126664500
938660840032
1013847193920
11596641a81a
1228254924a8
1313c8a69991
1495509b680
155609ec415
hex3395b6940

13847193920 has 224 divisors, whose sum is σ = 39872716800. Its totient is φ = 4474497024.

The previous prime is 13847193883. The next prime is 13847193947. The reversal of 13847193920 is 2939174831.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9490151 + ... + 9491609.

It is an arithmetic number, because the mean of its divisors is an integer number (178003200).

Almost surely, 213847193920 is an apocalyptic number.

13847193920 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 13847193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936358400).

13847193920 is an abundant number, since it is smaller than the sum of its proper divisors (26025522880).

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

13847193920 is a wasteful number, since it uses less digits than its factorization.

13847193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 13847193920 in words is "thirteen billion, eight hundred forty-seven million, one hundred ninety-three thousand, nine hundred twenty".