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16474893120 = 2632571753907
BaseRepresentation
bin11110101011111101…
…01110101101000000
31120112011102021200200
433111332232231000
5232220033034440
611322442045200
71122156165240
oct172576565500
946464367620
1016474893120
116a94714054
1232394a9800
13172728a58a
14b2406db20
1566654ec30
hex3d5faeb40

16474893120 has 672 divisors, whose sum is σ = 69942382848. Its totient is φ = 3473473536.

The previous prime is 16474893079. The next prime is 16474893131. The reversal of 16474893120 is 2139847461.

16474893120 is a `hidden beast` number, since 1 + 6 + 47 + 489 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 18163707 + ... + 18164613.

Almost surely, 216474893120 is an apocalyptic number.

16474893120 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 16474893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34971191424).

16474893120 is an abundant number, since it is smaller than the sum of its proper divisors (53467489728).

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

16474893120 is a wasteful number, since it uses less digits than its factorization.

16474893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16474893120 in words is "sixteen billion, four hundred seventy-four million, eight hundred ninety-three thousand, one hundred twenty".