Search a number
-
+
5115146520 = 23351113129581
BaseRepresentation
bin1001100001110001…
…01111000100011000
3111012111001100220010
410300320233010120
540433434142040
62203323201520
7240521012421
oct46070570430
914174040803
105115146520
112195404320
12ba90762a0
13636976623
143674b6648
151ee0ede80
hex130e2f118

5115146520 has 128 divisors (see below), whose sum is σ = 16868839680. Its totient is φ = 1230528000.

The previous prime is 5115146497. The next prime is 5115146563. The reversal of 5115146520 is 256415115.

It is a super-2 number, since 2×51151465202 = 52329447842136220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158130 + ... + 187710.

It is an arithmetic number, because the mean of its divisors is an integer number (131787810).

Almost surely, 25115146520 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 5115146520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8434419840).

5115146520 is an abundant number, since it is smaller than the sum of its proper divisors (11753693160).

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

5115146520 is a wasteful number, since it uses less digits than its factorization.

5115146520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29737 (or 29733 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 5115146520 is about 71520.2525163327. The cubic root of 5115146520 is about 1723.0029701773.

The spelling of 5115146520 in words is "five billion, one hundred fifteen million, one hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 131 132 165 220 262 264 330 393 440 524 655 660 786 1048 1310 1320 1441 1572 1965 2620 2882 3144 3930 4323 5240 5764 7205 7860 8646 11528 14410 15720 17292 21615 28820 29581 34584 43230 57640 59162 86460 88743 118324 147905 172920 177486 236648 295810 325391 354972 443715 591620 650782 709944 887430 976173 1183240 1301564 1626955 1774860 1952346 2603128 3253910 3549720 3875111 3904692 4880865 6507820 7750222 7809384 9761730 11625333 13015640 15500444 19375555 19523460 23250666 31000888 38751110 39046920 42626221 46501332 58126665 77502220 85252442 93002664 116253330 127878663 155004440 170504884 213131105 232506660 255757326 341009768 426262210 465013320 511514652 639393315 852524420 1023029304 1278786630 1705048840 2557573260 5115146520