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5158260128 = 25731799403
BaseRepresentation
bin1001100110111010…
…01100110110100000
3111022111011202122102
410303131030312200
541031003311003
62211503225532
7241553326160
oct46335146640
914274152572
105158260128
1122077811aa
12bbb5a82a8
13642890438
1436d0da5a0
15202cb8588
hex13374cda0

5158260128 has 96 divisors (see below), whose sum is σ = 12133416960. Its totient is φ = 2112065280.

The previous prime is 5158260089. The next prime is 5158260137. The reversal of 5158260128 is 8210628515.

It is a super-2 number, since 2×51582601282 = 53215295096229152768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5158260091 and 5158260100.

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, 543875 + ... + 553277.

It is an arithmetic number, because the mean of its divisors is an integer number (126389760).

Almost surely, 25158260128 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 5158260128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066708480).

5158260128 is an abundant number, since it is smaller than the sum of its proper divisors (6975156832).

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

5158260128 is a wasteful number, since it uses less digits than its factorization.

5158260128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9530 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The square root of 5158260128 is about 71821.0284526753. The cubic root of 5158260128 is about 1727.8302766832.

The spelling of 5158260128 in words is "five billion, one hundred fifty-eight million, two hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 79 112 124 158 217 224 248 316 434 496 553 632 868 992 1106 1264 1736 2212 2449 2528 3472 4424 4898 6944 8848 9403 9796 17143 17696 18806 19592 34286 37612 39184 65821 68572 75224 78368 131642 137144 150448 263284 274288 291493 300896 526568 548576 582986 742837 1053136 1165972 1485674 2040451 2106272 2331944 2971348 4080902 4663888 5199859 5942696 8161804 9327776 10399718 11885392 16323608 20799436 23027947 23770784 32647216 41598872 46055894 65294432 83197744 92111788 161195629 166395488 184223576 322391258 368447152 644782516 736894304 1289565032 2579130064 5158260128