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9944969580 = 22325713738317
BaseRepresentation
bin10010100001100010…
…00011000101101100
3221200002012210120200
421100301003011230
5130331403011310
64322455113500
7501305563260
oct112061030554
927602183520
109944969580
114243748927
121b16672890
13c264904b0
146a4b1a0a0
153d313c9c0
hex250c4316c

9944969580 has 288 divisors, whose sum is σ = 37641012864. Its totient is φ = 2069286912.

The previous prime is 9944969579. The next prime is 9944969591. The reversal of 9944969580 is 859694499.

9944969580 is a `hidden beast` number, since 9 + 9 + 4 + 49 + 6 + 9 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1191582 + ... + 1199898.

It is a vampire number, since it can be written as 9964599804 (with its own digits).

Almost surely, 29944969580 is an apocalyptic number.

9944969580 is a gapful number since it is divisible by the number (90) 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 9944969580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18820506432).

9944969580 is an abundant number, since it is smaller than the sum of its proper divisors (27696043284).

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

9944969580 is a wasteful number, since it uses less digits than its factorization.

9944969580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8425 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The square root of 9944969580 is about 99724.4683114430. The cubic root of 9944969580 is about 2150.4754369521.

The spelling of 9944969580 in words is "nine billion, nine hundred forty-four million, nine hundred sixty-nine thousand, five hundred eighty".