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12537280900 = 2252111972
BaseRepresentation
bin10111010110100011…
…11011100110000100
31012100202002212012001
423223101323212010
5201134020442100
65432021235044
7622454062234
oct135321734604
935322085161
1012537280900
115353a71781
12251a862a84
13124a570911
1486d119cc4
154d59eed6a
hex2eb47b984

12537280900 has 27 divisors (see below), whose sum is σ = 27208329519. Its totient is φ = 5014464480.

The previous prime is 12537280897. The next prime is 12537280901. The reversal of 12537280900 is 908273521.

The square root of 12537280900 is 111970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2156116356 + 10381164544 = 46434^2 + 101888^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12537280900.

It is not an unprimeable number, because it can be changed into a prime (12537280901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1114102 + ... + 1125298.

Almost surely, 212537280900 is an apocalyptic number.

12537280900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12537280900 is the 111970-th square number.

It is an amenable number.

12537280900 is an abundant number, since it is smaller than the sum of its proper divisors (14671048619).

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

12537280900 is an frugal number, since it uses more digits than its factorization.

12537280900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22408 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 12537280900 in words is "twelve billion, five hundred thirty-seven million, two hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11197 22394 44788 55985 111970 223940 279925 559850 1119700 125372809 250745618 501491236 626864045 1253728090 2507456180 3134320225 6268640450 12537280900