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16944906240 = 21433547163
BaseRepresentation
bin11111100011111111…
…01100000000000000
31121201220211102111000
433301333230000000
5234200343444430
611441232052000
71136624220003
oct176177540000
947656742430
1016944906240
117205a59949
12334a994000
1317a0773652
14b6a65b53a
15692942e60
hex3f1fec000

16944906240 has 480 divisors, whose sum is σ = 61906037760. Its totient is φ = 4395368448.

The previous prime is 16944906203. The next prime is 16944906257. The reversal of 16944906240 is 4260944961.

16944906240 is a `hidden beast` number, since 1 + 69 + 4 + 490 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 31 ways as a sum of consecutive naturals, for example, 103956399 + ... + 103956561.

It is an arithmetic number, because the mean of its divisors is an integer number (128970912).

Almost surely, 216944906240 is an apocalyptic number.

16944906240 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 16944906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30953018880).

16944906240 is an abundant number, since it is smaller than the sum of its proper divisors (44961131520).

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

16944906240 is an equidigital number, since it uses as much as digits as its factorization.

16944906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 16944906240 in words is "sixteen billion, nine hundred forty-four million, nine hundred six thousand, two hundred forty".