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13921839360 = 283551113313
BaseRepresentation
bin11001111011100111…
…00110100100000000
31022221020101201100000
430331303212210000
5212002442324420
610221241200000
71001665452642
oct147563464400
938836351300
1013921839360
1159a4573a70
122846490000
13140b373a90
14960d6c892
15567344690
hex33dce6900

13921839360 has 864 divisors, whose sum is σ = 58872498048. Its totient is φ = 3105423360.

The previous prime is 13921839341. The next prime is 13921839431. The reversal of 13921839360 is 6393812931.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×139218393602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44478564 + ... + 44478876.

Almost surely, 213921839360 is an apocalyptic number.

13921839360 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 13921839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29436249024).

13921839360 is an abundant number, since it is smaller than the sum of its proper divisors (44950658688).

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

13921839360 is a wasteful number, since it uses less digits than its factorization.

13921839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13921839360 in words is "thirteen billion, nine hundred twenty-one million, eight hundred thirty-nine thousand, three hundred sixty".