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5172099264 = 26335875099
BaseRepresentation
bin1001101000100011…
…11111100011000000
3111100110012212101000
410310101333203000
541043024134024
62213120012000
7242112055413
oct46421774300
914313185330
105172099264
112214573802
121004161000
136456c7587
14370c9db7a
152040edcc9
hex13447f8c0

5172099264 has 112 divisors (see below), whose sum is σ = 15233904000. Its totient is φ = 1720758528.

The previous prime is 5172099239. The next prime is 5172099271. The reversal of 5172099264 is 4629902715.

5172099264 is a `hidden beast` number, since 517 + 20 + 99 + 26 + 4 = 666.

It is a super-2 number, since 2×51720992642 = 53501221593338683392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011787 + ... + 1016885.

It is an arithmetic number, because the mean of its divisors is an integer number (136017000).

Almost surely, 25172099264 is an apocalyptic number.

5172099264 is a gapful number since it is divisible by the number (54) 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 5172099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616952000).

5172099264 is an abundant number, since it is smaller than the sum of its proper divisors (10061804736).

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

5172099264 is a wasteful number, since it uses less digits than its factorization.

5172099264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5172099264 is about 71917.3085147101. The cubic root of 5172099264 is about 1729.3740999318.

The spelling of 5172099264 in words is "five billion, one hundred seventy-two million, ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 587 864 1174 1728 1761 2348 3522 4696 5099 5283 7044 9392 10198 10566 14088 15297 15849 18784 20396 21132 28176 30594 31698 37568 40792 42264 45891 56352 61188 63396 81584 84528 91782 112704 122376 126792 137673 163168 169056 183564 244752 253584 275346 326336 338112 367128 489504 507168 550692 734256 979008 1014336 1101384 1468512 2202768 2937024 2993113 4405536 5986226 8811072 8979339 11972452 17958678 23944904 26938017 35917356 47889808 53876034 71834712 80814051 95779616 107752068 143669424 161628102 191559232 215504136 287338848 323256204 431008272 574677696 646512408 862016544 1293024816 1724033088 2586049632 5172099264