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2864901468 = 22311135928297
BaseRepresentation
bin1010101011000010…
…1110110101011100
321101122211001222210
42222300232311130
521331403321333
61152140440420
7130665155262
oct25260566534
97348731883
102864901468
111240186970
1267b549110
13368702190
141d26ba432
1511b7a9a63
hexaac2ed5c

2864901468 has 96 divisors (see below), whose sum is σ = 7986827520. Its totient is φ = 787760640.

The previous prime is 2864901451. The next prime is 2864901509. The reversal of 2864901468 is 8641094682.

It is a congruent number.

It is an unprimeable number.

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, 87096 + ... + 115392.

It is an arithmetic number, because the mean of its divisors is an integer number (83196120).

Almost surely, 22864901468 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 2864901468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993413760).

2864901468 is an abundant number, since it is smaller than the sum of its proper divisors (5121926052).

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

2864901468 is a wasteful number, since it uses less digits than its factorization.

2864901468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28387 (or 28385 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2864901468 is about 53524.7743386182. The cubic root of 2864901468 is about 1420.2666741108.

The spelling of 2864901468 in words is "two billion, eight hundred sixty-four million, nine hundred one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 59 66 78 118 132 143 156 177 236 286 354 429 572 649 708 767 858 1298 1534 1716 1947 2301 2596 3068 3894 4602 7788 8437 9204 16874 25311 28297 33748 50622 56594 84891 101244 113188 169782 311267 339564 367861 622534 735722 933801 1103583 1245068 1471444 1669523 1867602 2207166 3339046 3735204 4046471 4414332 5008569 6678092 8092942 10017138 12139413 16185884 18364753 20034276 21703799 24278826 36729506 43407598 48557652 55094259 65111397 73459012 86815196 110188518 130222794 220377036 238741789 260445588 477483578 716225367 954967156 1432450734 2864901468