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5015295306 = 234728115739
BaseRepresentation
bin1001010101110111…
…10101010101001010
3110221112011101210000
410222323311111022
540232403422211
62145355103430
7235166210130
oct45273652512
913845141700
105015295306
11214400465a
12b7b741b76
1361c085778
14358123750
151e5478656
hex12aef554a

5015295306 has 80 divisors (see below), whose sum is σ = 12889926720. Its totient is φ = 1427751360.

The previous prime is 5015295301. The next prime is 5015295349. The reversal of 5015295306 is 6035925105.

5015295306 is a `hidden beast` number, since 50 + 15 + 295 + 306 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5015295301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310785 + ... + 326523.

It is an arithmetic number, because the mean of its divisors is an integer number (161124084).

Almost surely, 25015295306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5015295306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444963360).

5015295306 is an abundant number, since it is smaller than the sum of its proper divisors (7874631414).

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

5015295306 is a wasteful number, since it uses less digits than its factorization.

5015295306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16041 (or 16032 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5015295306 is about 70818.7496783161. The cubic root of 5015295306 is about 1711.7178120818.

The spelling of 5015295306 in words is "five billion, fifteen million, two hundred ninety-five thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 281 378 562 567 843 1134 1686 1967 2529 3934 5058 5901 7587 11802 15174 15739 17703 22761 31478 35406 45522 47217 53109 94434 106218 110173 141651 159327 220346 283302 318654 330519 424953 661038 849906 991557 1274859 1983114 2549718 2974671 4422659 5949342 8845318 8924013 13267977 17848026 26535954 30958613 39803931 61917226 79607862 92875839 119411793 185751678 238823586 278627517 358235379 557255034 716470758 835882551 1671765102 2507647653 5015295306