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2130744672 = 253271056917
BaseRepresentation
bin111111100000000…
…1001010101100000
312111111101001012100
41333000021111200
513330432312142
6551233130400
7103542013410
oct17700112540
95444331170
102130744672
119a3828011
124b56b9a00
1327c593a84
14162db0640
15c70dbb4c
hex7f009560

2130744672 has 72 divisors (see below), whose sum is σ = 6924926736. Its totient is φ = 608783616.

The previous prime is 2130744661. The next prime is 2130744673. The reversal of 2130744672 is 2764470312.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130744673) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 526443 + ... + 530474.

It is an arithmetic number, because the mean of its divisors is an integer number (96179538).

Almost surely, 22130744672 is an apocalyptic number.

It is an amenable number.

2130744672 is an abundant number, since it is smaller than the sum of its proper divisors (4794182064).

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

2130744672 is a wasteful number, since it uses less digits than its factorization.

2130744672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056940 (or 1056929 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2130744672 is about 46159.9899480058. The cubic root of 2130744672 is about 1286.7982760070.

The spelling of 2130744672 in words is "two billion, one hundred thirty million, seven hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1056917 2113834 3170751 4227668 6341502 7398419 8455336 9512253 12683004 14796838 16910672 19024506 22195257 25366008 29593676 33821344 38049012 44390514 50732016 59187352 66585771 76098024 88781028 101464032 118374704 133171542 152196048 177562056 236749408 266343084 304392096 355124112 532686168 710248224 1065372336 2130744672