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13157924850 = 2335271392373
BaseRepresentation
bin11000100000100010…
…11111111111110010
31020221222221211122000
430100101133333302
5203421412043400
610013351554430
7644031341640
oct142021377762
936858854560
1013157924850
11564233a764
12267268ba16
131319016a65
148cb718190
15520249600
hex31045fff2

13157924850 has 96 divisors (see below), whose sum is σ = 41437050240. Its totient is φ = 3007523520.

The previous prime is 13157924831. The next prime is 13157924851. The reversal of 13157924850 is 5842975131.

13157924850 is a `hidden beast` number, since 1 + 3 + 1 + 579 + 24 + 8 + 50 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13157924796 and 13157924805.

It is not an unprimeable number, because it can be changed into a prime (13157924851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686737 + ... + 705636.

It is an arithmetic number, because the mean of its divisors is an integer number (431635940).

Almost surely, 213157924850 is an apocalyptic number.

13157924850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13157924850 is an abundant number, since it is smaller than the sum of its proper divisors (28279125390).

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

13157924850 is a wasteful number, since it uses less digits than its factorization.

13157924850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392401 (or 1392390 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 13157924850 in words is "thirteen billion, one hundred fifty-seven million, nine hundred twenty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 9450 1392373 2784746 4177119 6961865 8354238 9746611 12531357 13923730 19493222 20885595 25062714 29239833 34809325 37594071 41771190 48733055 58479666 62656785 69618650 75188142 87719499 97466110 104427975 125313570 146199165 175438998 187970355 208855950 243665275 263158497 292398330 313283925 375940710 438597495 487330550 526316994 626567850 730995825 877194990 939851775 1315792485 1461991650 1879703550 2192987475 2631584970 4385974950 6578962425 13157924850