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16904244240 = 24335134114683
BaseRepresentation
bin11111011111001001…
…00100110000010000
31121122002022120201000
433233210210300100
5234104441303430
611433220342000
71135621463622
oct175744446020
947562276630
1016904244240
117195006994
123339244900
1317952076b0
14b650b4c12
1568e0aee60
hex3ef924c10

16904244240 has 320 divisors, whose sum is σ = 64238388480. Its totient is φ = 4059279360.

The previous prime is 16904244233. The next prime is 16904244319. The reversal of 16904244240 is 4244240961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16904244195 and 16904244204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1143939 + ... + 1158621.

It is an arithmetic number, because the mean of its divisors is an integer number (200744964).

Almost surely, 216904244240 is an apocalyptic number.

16904244240 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 16904244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32119194240).

16904244240 is an abundant number, since it is smaller than the sum of its proper divisors (47334144240).

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

16904244240 is a wasteful number, since it uses less digits than its factorization.

16904244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14759 (or 14747 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 16904244240 in words is "sixteen billion, nine hundred four million, two hundred forty-four thousand, two hundred forty".