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45872206900 = 22521335286313
BaseRepresentation
bin101010101110001100…
…100101010000110100
311101101220122112222221
4222232030211100310
51222421241110100
633023504332124
73212520216352
oct525614452064
9141356575887
1045872206900
11184aa734aa3
128a82614044
1344308261c0
1423124327d2
1512d72ca01a
hexaae325434

45872206900 has 36 divisors (see below), whose sum is σ = 107199821932. Its totient is φ = 16937429760.

The previous prime is 45872206883. The next prime is 45872206907. The reversal of 45872206900 is 960227854.

It can be written as a sum of positive squares in 6 ways, for example, as 14826471696 + 31045735204 = 121764^2 + 176198^2 .

It is a super-2 number, since 2×458722069002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45872206907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17641857 + ... + 17644456.

Almost surely, 245872206900 is an apocalyptic number.

It is an amenable number.

45872206900 is an abundant number, since it is smaller than the sum of its proper divisors (61327615032).

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

45872206900 is a wasteful number, since it uses less digits than its factorization.

45872206900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35286340 (or 35286333 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 45872206900 in words is "forty-five billion, eight hundred seventy-two million, two hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 35286313 70572626 141145252 176431565 352863130 458722069 705726260 882157825 917444138 1764315650 1834888276 2293610345 3528631300 4587220690 9174441380 11468051725 22936103450 45872206900