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4672446264 = 23324110631489
BaseRepresentation
bin1000101100111111…
…11101111100111000
3110001122000212022100
410112133331330320
534032121240024
62051350423400
7223534065213
oct42637757470
913048025270
104672446264
111a88524042
12aa4961b60
13596034405
1432479877a
151c53037c9
hex1167fdf38

4672446264 has 96 divisors (see below), whose sum is σ = 12984098400. Its totient is φ = 1517045760.

The previous prime is 4672446227. The next prime is 4672446269. The reversal of 4672446264 is 4626442764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672446269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3137232 + ... + 3138720.

It is an arithmetic number, because the mean of its divisors is an integer number (135251025).

Almost surely, 24672446264 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 4672446264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492049200).

4672446264 is an abundant number, since it is smaller than the sum of its proper divisors (8311652136).

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

4672446264 is a wasteful number, since it uses less digits than its factorization.

4672446264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2598 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The square root of 4672446264 is about 68355.2943377468. The cubic root of 4672446264 is about 1671.7889042730.

The spelling of 4672446264 in words is "four billion, six hundred seventy-two million, four hundred forty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1063 1476 1489 2126 2952 2978 3189 4252 4467 5956 6378 8504 8934 9567 11912 12756 13401 17868 19134 25512 26802 35736 38268 43583 53604 61049 76536 87166 107208 122098 130749 174332 183147 244196 261498 348664 366294 392247 488392 522996 549441 732588 784494 1045992 1098882 1465176 1568988 1582807 2197764 3137976 3165614 4395528 4748421 6331228 9496842 12662456 14245263 18993684 28490526 37987368 56981052 64895087 113962104 129790174 194685261 259580348 389370522 519160696 584055783 778741044 1168111566 1557482088 2336223132 4672446264