Search a number
-
+
5351312600 = 235271376853
BaseRepresentation
bin1001111101111011…
…01000110011011000
3111210221102211211222
410332331220303120
541424414000400
62243001111212
7246416256314
oct47675506330
914727384758
105351312600
1122a67493a7
121054188508
1367388437a
1438a9d0b44
15214bee185
hex13ef68cd8

5351312600 has 48 divisors (see below), whose sum is σ = 12617071920. Its totient is φ = 2110371200.

The previous prime is 5351312591. The next prime is 5351312621. The reversal of 5351312600 is 62131535.

It is a self number, because there is not a number n which added to its sum of digits gives 5351312600.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 174227 + ... + 202626.

It is an arithmetic number, because the mean of its divisors is an integer number (262855665).

Almost surely, 25351312600 is an apocalyptic number.

5351312600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5351312600 is an abundant number, since it is smaller than the sum of its proper divisors (7265759320).

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

5351312600 is a wasteful number, since it uses less digits than its factorization.

5351312600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376940 (or 376931 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 5351312600 is about 73152.6663902280. Note that the first 3 decimals coincide. The cubic root of 5351312600 is about 1749.1220194520.

The spelling of 5351312600 in words is "five billion, three hundred fifty-one million, three hundred twelve thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 14200 376853 753706 1507412 1884265 3014824 3768530 7537060 9421325 15074120 18842650 26756563 37685300 53513126 75370600 107026252 133782815 214052504 267565630 535131260 668914075 1070262520 1337828150 2675656300 5351312600