Search a number
-
+
315104510502 = 23489157913841
BaseRepresentation
bin1001001010111011011…
…00010100001000100110
31010010100011201122220000
410211131230110020212
520130313223314002
6400431303122130
731523404101165
oct4453554241046
91103304648800
10315104510502
111116a9310631
125109ba43346
132393920a4a2
14113731ad3dc
1582e376961c
hex495db14226

315104510502 has 80 divisors (see below), whose sum is σ = 714504661200. Its totient is φ = 103781399040.

The previous prime is 315104510473. The next prime is 315104510549. The reversal of 315104510502 is 205015401513.

315104510502 is a `hidden beast` number, since 3 + 1 + 5 + 104 + 51 + 0 + 502 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22759102 + ... + 22772942.

It is an arithmetic number, because the mean of its divisors is an integer number (8931308265).

Almost surely, 2315104510502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315104510502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357252330600).

315104510502 is an abundant number, since it is smaller than the sum of its proper divisors (399400150698).

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

315104510502 is a wasteful number, since it uses less digits than its factorization.

315104510502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15523 (or 15514 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 315104510502 in words is "three hundred fifteen billion, one hundred four million, five hundred ten thousand, five hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1579 1602 2403 3158 4737 4806 7209 9474 13841 14211 14418 27682 28422 41523 42633 83046 85266 124569 127899 140531 249138 255798 281062 373707 421593 747414 843186 1121121 1231849 1264779 2242242 2463698 2529558 3695547 3794337 7391094 7588674 11086641 11383011 21854939 22173282 22766022 33259923 43709878 65564817 66519846 99779769 131129634 196694451 199559538 393388902 590083353 1180166706 1770250059 1945089571 3540500118 3890179142 5835268713 11670537426 17505806139 35011612278 52517418417 105034836834 157552255251 315104510502