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13921988472 = 23327291914987
BaseRepresentation
bin11001111011101000…
…01010111101111000
31022221020200021212200
430331310022331320
5212003012112342
610221244310200
71001666643450
oct147564127570
938836607780
1013921988472
1159a4665aa7
122846542360
13140b3c6902
14960daad60
1556737394c
hex33dd0af78

13921988472 has 192 divisors, whose sum is σ = 44820172800. Its totient is φ = 3819674880.

The previous prime is 13921988461. The next prime is 13921988543. The reversal of 13921988472 is 27488912931.

13921988472 is a `hidden beast` number, since 1 + 3 + 92 + 1 + 9 + 88 + 472 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2789163 + ... + 2794149.

It is an arithmetic number, because the mean of its divisors is an integer number (233438400).

Almost surely, 213921988472 is an apocalyptic number.

13921988472 is a gapful number since it is divisible by the number (12) 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 13921988472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22410086400).

13921988472 is an abundant number, since it is smaller than the sum of its proper divisors (30898184328).

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

13921988472 is a wasteful number, since it uses less digits than its factorization.

13921988472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5219 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 13921988472 in words is "thirteen billion, nine hundred twenty-one million, nine hundred eighty-eight thousand, four hundred seventy-two".