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2313052768 = 25137121103
BaseRepresentation
bin1000100111011110…
…0110001001100000
312222012102020220001
42021313212021200
514214120142033
61021304425344
7111214424035
oct21167461140
95865366801
102313052768
11a87726864
12546778254
132ab2953a0
1417d2a938c
15d80ede7d
hex89de6260

2313052768 has 72 divisors (see below), whose sum is σ = 4978671264. Its totient is φ = 1051572480.

The previous prime is 2313052751. The next prime is 2313052787. The reversal of 2313052768 is 8672503132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2096505 + ... + 2097607.

It is an arithmetic number, because the mean of its divisors is an integer number (69148212).

Almost surely, 22313052768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489335632).

2313052768 is an abundant number, since it is smaller than the sum of its proper divisors (2665618496).

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

2313052768 is a wasteful number, since it uses less digits than its factorization.

2313052768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2313052768 is about 48094.2072187493. The cubic root of 2313052768 is about 1322.4984757756.

The spelling of 2313052768 in words is "two billion, three hundred thirteen million, fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 416 568 923 1103 1136 1846 2206 2272 3692 4412 5041 7384 8824 10082 14339 14768 17648 20164 28678 29536 35296 40328 57356 65533 78313 80656 114712 131066 156626 161312 229424 262132 313252 458848 524264 626504 1018069 1048528 1253008 2036138 2097056 2506016 4072276 5560223 8144552 11120446 16289104 22240892 32578208 44481784 72282899 88963568 144565798 177927136 289131596 578263192 1156526384 2313052768