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5095327248 = 2433117611409
BaseRepresentation
bin1001011111011010…
…01000011000010000
3111011002202102222000
410233231020120100
540413400432443
62201334314000
7240160365324
oct45755103020
914132672860
105095327248
1121851a7860
12ba24b8900
1363282754b
143649d7984
151ec4d68d3
hex12fb48610

5095327248 has 160 divisors (see below), whose sum is σ = 15987369600. Its totient is φ = 1540915200.

The previous prime is 5095327243. The next prime is 5095327273. The reversal of 5095327248 is 8427235905.

5095327248 is a `hidden beast` number, since 5 + 0 + 9 + 532 + 72 + 48 = 666.

It is a super-2 number, since 2×50953272482 = 51924719528422507008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5095327243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3615568 + ... + 3616976.

It is an arithmetic number, because the mean of its divisors is an integer number (99921060).

Almost surely, 25095327248 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 5095327248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993684800).

5095327248 is an abundant number, since it is smaller than the sum of its proper divisors (10892042352).

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

5095327248 is a wasteful number, since it uses less digits than its factorization.

5095327248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5095327248 is about 71381.5609804101. The cubic root of 5095327248 is about 1720.7747600312.

The spelling of 5095327248 in words is "five billion, ninety-five million, three hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 761 792 1188 1409 1522 1584 2283 2376 2818 3044 4227 4566 4752 5636 6088 6849 8371 8454 9132 11272 12176 12681 13698 15499 16742 16908 18264 20547 22544 25113 25362 27396 30998 33484 33816 36528 38043 41094 46497 50226 50724 54792 61996 66968 67632 75339 76086 82188 92994 100452 101448 109584 123992 133936 139491 150678 152172 164376 185988 200904 202896 226017 247984 278982 301356 304344 328752 371976 401808 418473 452034 557964 602712 608688 743952 836946 904068 1072249 1115928 1205424 1673892 1808136 2144498 2231856 3216747 3347784 3616272 4288996 6433494 6695568 8577992 9650241 11794739 12866988 17155984 19300482 23589478 25733976 28950723 35384217 38600964 47178956 51467952 57901446 70768434 77201928 94357912 106152651 115802892 141536868 154403856 188715824 212305302 231605784 283073736 318457953 424610604 463211568 566147472 636915906 849221208 1273831812 1698442416 2547663624 5095327248