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5182151364 = 2233134385837
BaseRepresentation
bin1001101001110000…
…10101101011000100
3111101011010120021000
410310320111223010
541103112320424
62214115253300
7242263363005
oct46470255304
914334116230
105182151364
11221a20a025
1210075aa230
13647806a70
143723591ac
15204e373c9
hex134e15ac4

5182151364 has 96 divisors (see below), whose sum is σ = 14805338240. Its totient is φ = 1557408384.

The previous prime is 5182151353. The next prime is 5182151399. The reversal of 5182151364 is 4631512815.

5182151364 is a `hidden beast` number, since 5 + 1 + 82 + 1 + 513 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17454 + ... + 103290.

Almost surely, 25182151364 is an apocalyptic number.

5182151364 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 5182151364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402669120).

5182151364 is an abundant number, since it is smaller than the sum of its proper divisors (9623186876).

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

5182151364 is a wasteful number, since it uses less digits than its factorization.

5182151364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85906 (or 85898 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 5182151364 is about 71987.1611052971. The cubic root of 5182151364 is about 1730.4937350275.

The spelling of 5182151364 in words is "five billion, one hundred eighty-two million, one hundred fifty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 43 52 54 78 86 108 117 129 156 172 234 258 351 387 468 516 559 702 774 1118 1161 1404 1548 1677 2236 2322 3354 4644 5031 6708 10062 15093 20124 30186 60372 85837 171674 257511 343348 515022 772533 1030044 1115881 1545066 2231762 2317599 3090132 3347643 3690991 4463524 4635198 6695286 7381982 9270396 10042929 11072973 13390572 14763964 20085858 22145946 30128787 33218919 40171716 44291892 47982883 60257574 66437838 95965766 99656757 120515148 132875676 143948649 191931532 199313514 287897298 398627028 431845947 575794596 863691894 1295537841 1727383788 2591075682 5182151364