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16989401520 = 243257213172179
BaseRepresentation
bin11111101001010010…
…11011000110110000
31121212000120000112100
433310221123012300
5234243241322040
611445501500400
71141004346600
oct176451330660
947760500470
1016989401520
11722908a903
123361871700
1317a9a52310
14b72520c00
156967d1b30
hex3f4a5b1b0

16989401520 has 720 divisors, whose sum is σ = 75716091360. Its totient is φ = 3372171264.

The previous prime is 16989401501. The next prime is 16989401573. The reversal of 16989401520 is 2510498961.

16989401520 is a `hidden beast` number, since 1 + 6 + 9 + 89 + 40 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7795791 + ... + 7797969.

It is an arithmetic number, because the mean of its divisors is an integer number (105161238).

Almost surely, 216989401520 is an apocalyptic number.

16989401520 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 16989401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37858045680).

16989401520 is an abundant number, since it is smaller than the sum of its proper divisors (58726689840).

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

16989401520 is a wasteful number, since it uses less digits than its factorization.

16989401520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 16989401520 in words is "sixteen billion, nine hundred eighty-nine million, four hundred one thousand, five hundred twenty".