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19654742016 = 21235721331
BaseRepresentation
bin10010010011100000…
…111001000000000000
31212201202212100100000
4102103200321000000
5310223103221031
613010153200000
71264030356600
oct222340710000
955652770300
1019654742016
118376653648
123986400000
131b12cc1c80
14d464d0c00
157a07bc3e6
hex493839000

19654742016 has 936 divisors, whose sum is σ = 76136196864. Its totient is φ = 5016453120.

The previous prime is 19654742011. The next prime is 19654742059. The reversal of 19654742016 is 61024745691.

19654742016 is a `hidden beast` number, since 1 + 96 + 547 + 4 + 2 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is not an unprimeable number, because it can be changed into a prime (19654742011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 634023921 + ... + 634023951.

Almost surely, 219654742016 is an apocalyptic number.

19654742016 is a gapful number since it is divisible by the number (16) 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 19654742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38068098432).

19654742016 is an abundant number, since it is smaller than the sum of its proper divisors (56481454848).

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

19654742016 is an equidigital number, since it uses as much as digits as its factorization.

19654742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 19654742016 in words is "nineteen billion, six hundred fifty-four million, seven hundred forty-two thousand, sixteen".