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9872328672 = 2532172016407
BaseRepresentation
bin10010011000110111…
…11100011111100000
3221111000112020222200
421030123330133200
5130204304004142
64311342133200
7466434260223
oct111433743740
927430466880
109872328672
114206743718
121ab6281200
13c144088cb
1469920b5ba
153cba8e64c
hex24c6fc7e0

9872328672 has 72 divisors (see below), whose sum is σ = 29725886736. Its totient is φ = 3097199616.

The previous prime is 9872328671. The next prime is 9872328691. The reversal of 9872328672 is 2768232789.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9872328671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003308 + ... + 1013099.

It is an arithmetic number, because the mean of its divisors is an integer number (412859538).

Almost surely, 29872328672 is an apocalyptic number.

It is an amenable number.

9872328672 is an abundant number, since it is smaller than the sum of its proper divisors (19853558064).

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

9872328672 is a wasteful number, since it uses less digits than its factorization.

9872328672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016440 (or 2016429 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 9872328672 is about 99359.5927527886. The cubic root of 9872328672 is about 2145.2267405022.

The spelling of 9872328672 in words is "nine billion, eight hundred seventy-two million, three hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 2016407 4032814 6049221 8065628 12098442 16131256 18147663 24196884 32262512 34278919 36295326 48393768 64525024 68557838 72590652 96787536 102836757 137115676 145181304 193575072 205673514 274231352 290362608 308510271 411347028 548462704 580725216 617020542 822694056 1096925408 1234041084 1645388112 2468082168 3290776224 4936164336 9872328672