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2142772412 = 2211178093541
BaseRepresentation
bin111111110111000…
…0001110010111100
312112100000010011012
41333232001302330
513342022204122
6552343014352
7104046156614
oct17756016274
95470003135
102142772412
119aa5a26a0
124b973a3b8
13281c15591
14164821a44
15c81b57e2
hex7fb81cbc

2142772412 has 48 divisors (see below), whose sum is σ = 4337958240. Its totient is φ = 915302400.

The previous prime is 2142772397. The next prime is 2142772417.

2142772412 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142772417) 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 15 ways as a sum of consecutive naturals, for example, 603362 + ... + 606902.

It is an arithmetic number, because the mean of its divisors is an integer number (90374130).

Almost surely, 22142772412 is an apocalyptic number.

2142772412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2142772412 is an abundant number, since it is smaller than the sum of its proper divisors (2195185828).

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

2142772412 is a wasteful number, since it uses less digits than its factorization.

2142772412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4380 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 2142772412 is about 46290.0897817233. The cubic root of 2142772412 is about 1289.2149966293.

It can be divided in two parts, 21427 and 72412, that added together give a palindrome (93839).

The spelling of 2142772412 in words is "two billion, one hundred forty-two million, seven hundred seventy-two thousand, four hundred twelve".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 809 1618 3236 3541 7082 8899 13753 14164 17798 27506 35596 38951 55012 60197 77902 120394 151283 155804 240788 302566 605132 662167 1324334 2648668 2864669 5729338 11458676 31511359 48699373 63022718 97398746 126045436 194797492 535693103 1071386206 2142772412