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2118077680 = 24571372901
BaseRepresentation
bin111111000111111…
…0100110011110000
312110121112111100111
41332033310303300
513314211441210
6550101431104
7103326235405
oct17617646360
95417474314
102118077680
11997666124
124b140b494
13279a7a304
141614342ac
15c5e3888a
hex7e3f4cf0

2118077680 has 40 divisors (see below), whose sum is σ = 4993903584. Its totient is φ = 835296000.

The previous prime is 2118077657. The next prime is 2118077681. The reversal of 2118077680 is 867708112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118077681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180771 + ... + 192130.

Almost surely, 22118077680 is an apocalyptic number.

2118077680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2118077680 is an abundant number, since it is smaller than the sum of its proper divisors (2875825904).

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

2118077680 is a wasteful number, since it uses less digits than its factorization.

2118077680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372985 (or 372979 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 40.

The square root of 2118077680 is about 46022.5779373559. The cubic root of 2118077680 is about 1284.2432583561.

The spelling of 2118077680 in words is "two billion, one hundred eighteen million, seventy-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 372901 745802 1491604 1864505 2983208 3729010 5966416 7458020 14916040 26475971 29832080 52951942 105903884 132379855 211807768 264759710 423615536 529519420 1059038840 2118077680