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1264885216 = 2574101163
BaseRepresentation
bin100101101100100…
…1001110111100000
310021011002211022121
41023121021313200
510042302311331
6325302514024
743226230000
oct11331116740
93234084277
101264885216
11599aa3a91
122b3735914
13172091bba
14bddc0000
15760a5c11
hex4b649de0

1264885216 has 120 divisors (see below), whose sum is σ = 2951873064. Its totient is φ = 533433600.

The previous prime is 1264885201. The next prime is 1264885267. The reversal of 1264885216 is 6125884621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7759951 + ... + 7760113.

Almost surely, 21264885216 is an apocalyptic number.

1264885216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264885216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475936532).

1264885216 is an abundant number, since it is smaller than the sum of its proper divisors (1686987848).

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

1264885216 is an equidigital number, since it uses as much as digits as its factorization.

1264885216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 273 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The square root of 1264885216 is about 35565.2248130108. The cubic root of 1264885216 is about 1081.4763804744.

The spelling of 1264885216 in words is "one billion, two hundred sixty-four million, eight hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 101 112 163 196 202 224 326 343 392 404 652 686 707 784 808 1141 1304 1372 1414 1568 1616 2282 2401 2608 2744 2828 3232 4564 4802 4949 5216 5488 5656 7987 9128 9604 9898 10976 11312 15974 16463 18256 19208 19796 22624 31948 32926 34643 36512 38416 39592 55909 63896 65852 69286 76832 79184 111818 115241 127792 131704 138572 158368 223636 230482 242501 255584 263408 277144 391363 447272 460964 485002 526816 554288 782726 806687 894544 921928 970004 1108576 1565452 1613374 1789088 1843856 1940008 3130904 3226748 3687712 3880016 5646809 6261808 6453496 7760032 11293618 12523616 12906992 22587236 25813984 39527663 45174472 79055326 90348944 158110652 180697888 316221304 632442608 1264885216