Search a number
-
+
10355814045 = 325230129201
BaseRepresentation
bin10011010010100000…
…10010111010011101
3222201201021212020100
421221100102322131
5132202042022140
64431333011313
7514424652453
oct115120227235
928651255210
1010355814045
114434650405
122010183b39
13c9062ab25
147035049d3
15409244530
hex269412e9d

10355814045 has 12 divisors (see below), whose sum is σ = 17950077756. Its totient is φ = 5523100800.

The previous prime is 10355814019. The next prime is 10355814067. The reversal of 10355814045 is 54041855301.

10355814045 is a `hidden beast` number, since 1 + 0 + 35 + 581 + 4 + 0 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7975740249 + 2380073796 = 89307^2 + 48786^2 .

It is not a de Polignac number, because 10355814045 - 25 = 10355814013 is a prime.

It is a super-3 number, since 3×103558140453 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115064556 + ... + 115064645.

It is an arithmetic number, because the mean of its divisors is an integer number (1495839813).

Almost surely, 210355814045 is an apocalyptic number.

10355814045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10355814045 is a deficient number, since it is larger than the sum of its proper divisors (7594263711).

10355814045 is a wasteful number, since it uses less digits than its factorization.

10355814045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230129212 (or 230129209 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10355814045 in words is "ten billion, three hundred fifty-five million, eight hundred fourteen thousand, forty-five".

Divisors: 1 3 5 9 15 45 230129201 690387603 1150646005 2071162809 3451938015 10355814045