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2296976864 = 257131276211
BaseRepresentation
bin1000100011101001…
…0001010111100000
312221002011111220012
42020322101113200
514201011224424
61015532104052
7110630660360
oct21072212740
95832144805
102296976864
11a79646796
12541305028
132a7b57110
1417b0c29a0
15d69c5b0e
hex88e915e0

2296976864 has 96 divisors (see below), whose sum is σ = 5610479616. Its totient is φ = 901393920.

The previous prime is 2296976839. The next prime is 2296976897. The reversal of 2296976864 is 4686796922.

It is a super-2 number, since 2×22969768642 = 10552205427502548992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 366719 + ... + 372929.

It is an arithmetic number, because the mean of its divisors is an integer number (58442496).

Almost surely, 22296976864 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 2296976864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805239808).

2296976864 is an abundant number, since it is smaller than the sum of its proper divisors (3313502752).

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

2296976864 is a wasteful number, since it uses less digits than its factorization.

2296976864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6360 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 59.

The square root of 2296976864 is about 47926.7864977405. The cubic root of 2296976864 is about 1319.4275264755.

The spelling of 2296976864 in words is "two billion, two hundred ninety-six million, nine hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 127 182 208 224 254 364 416 508 728 889 1016 1456 1651 1778 2032 2912 3302 3556 4064 6211 6604 7112 11557 12422 13208 14224 23114 24844 26416 28448 43477 46228 49688 52832 80743 86954 92456 99376 161486 173908 184912 198752 322972 347816 369824 565201 645944 695632 788797 1130402 1291888 1391264 1577594 2260804 2583776 3155188 4521608 5521579 6310376 9043216 10254361 11043158 12620752 18086432 20508722 22086316 25241504 41017444 44172632 71780527 82034888 88345264 143561054 164069776 176690528 287122108 328139552 574244216 1148488432 2296976864