Search a number
-
+
5175377316 = 2232434317757
BaseRepresentation
bin1001101000111100…
…11111110110100100
3111100200101102000100
410310132133312210
541044344033231
62213314144100
7242151660414
oct46436376644
914320342010
105175377316
11221640263a
121005282030
136462a4655
143714b4644
1520454a1e6
hex13479fda4

5175377316 has 72 divisors (see below), whose sum is σ = 13419229824. Its totient is φ = 1680880320.

The previous prime is 5175377297. The next prime is 5175377327. The reversal of 5175377316 is 6137735715.

5175377316 is a `hidden beast` number, since 517 + 53 + 7 + 73 + 16 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 663310 + ... + 671066.

It is an arithmetic number, because the mean of its divisors is an integer number (186378192).

Almost surely, 25175377316 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 5175377316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709614912).

5175377316 is an abundant number, since it is smaller than the sum of its proper divisors (8243852508).

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

5175377316 is a wasteful number, since it uses less digits than its factorization.

5175377316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8236 counting only the distinct ones).

The product of its digits is 463050, while the sum is 45.

The square root of 5175377316 is about 71940.0953293780. The cubic root of 5175377316 is about 1729.7393791413.

The spelling of 5175377316 in words is "five billion, one hundred seventy-five million, three hundred seventy-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 431 516 774 862 1293 1548 1724 2586 3879 5172 7757 7758 15514 15516 18533 23271 31028 37066 46542 55599 69813 74132 93084 111198 139626 166797 222396 279252 333551 333594 667102 667188 1000653 1334204 2001306 3001959 3343267 4002612 6003918 6686534 10029801 12007836 13373068 20059602 30089403 40119204 60178806 120357612 143760481 287520962 431281443 575041924 862562886 1293844329 1725125772 2587688658 5175377316