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2114672007 = 371711175303
BaseRepresentation
bin111111000001011…
…0101010110000111
312110101010110122110
41332002311112013
513312324001012
6545500432103
7103255262340
oct17602652607
95411113573
102114672007
1199574a418
124b0248633
13279157116
14160bc90c7
15c59b473c
hex7e0b5587

2114672007 has 32 divisors (see below), whose sum is σ = 3415606272. Its totient is φ = 1136070144.

The previous prime is 2114671997. The next prime is 2114672039. The reversal of 2114672007 is 7002764112.

It is not a de Polignac number, because 2114672007 - 24 = 2114671991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114676007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396118 + ... + 401420.

It is an arithmetic number, because the mean of its divisors is an integer number (106737696).

Almost surely, 22114672007 is an apocalyptic number.

2114672007 is a deficient number, since it is larger than the sum of its proper divisors (1300934265).

2114672007 is a wasteful number, since it uses less digits than its factorization.

2114672007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 2114672007 is about 45985.5630279765. The cubic root of 2114672007 is about 1283.5545743191.

The spelling of 2114672007 in words is "two billion, one hundred fourteen million, six hundred seventy-two thousand, seven".

Divisors: 1 3 7 17 21 51 119 357 1117 3351 5303 7819 15909 18989 23457 37121 56967 90151 111363 132923 270453 398769 631057 1893171 5923451 17770353 41464157 100698667 124392471 302096001 704890669 2114672007