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5213594900 = 2252521100069
BaseRepresentation
bin1001101101100000…
…10010010100010100
3111110100022001200102
410312300102110110
541134140014100
62221201233232
7243124553063
oct46660222424
914410261612
105213594900
112235a36018
121016032818
13651195ac7
143765c21da
15207a98cd5
hex136c12514

5213594900 has 36 divisors (see below), whose sum is σ = 11335329180. Its totient is φ = 2081414400.

The previous prime is 5213594879. The next prime is 5213594917. The reversal of 5213594900 is 94953125.

It can be written as a sum of positive squares in 6 ways, for example, as 18645124 + 5194949776 = 4318^2 + 72076^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2066 + ... + 102134.

It is an arithmetic number, because the mean of its divisors is an integer number (314870255).

Almost surely, 25213594900 is an apocalyptic number.

5213594900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5213594900 is an abundant number, since it is smaller than the sum of its proper divisors (6121734280).

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

5213594900 is a wasteful number, since it uses less digits than its factorization.

5213594900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100604 (or 100597 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 5213594900 is about 72205.2276500808. The cubic root of 5213594900 is about 1733.9866960803.

The spelling of 5213594900 in words is "five billion, two hundred thirteen million, five hundred ninety-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 521 1042 2084 2605 5210 10420 13025 26050 52100 100069 200138 400276 500345 1000690 2001380 2501725 5003450 10006900 52135949 104271898 208543796 260679745 521359490 1042718980 1303398725 2606797450 5213594900