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64409212900 = 2252644092129
BaseRepresentation
bin111011111111000101…
…101001011111100100
320011020210022000202201
4323333011221133210
52023402224303100
645331132544244
74440056163544
oct737705513744
9204223260681
1064409212900
1125352359a6a
1210596622084
1360c60976c6
1431902c9324
151a1e8ab36a
hexeff1697e4

64409212900 has 18 divisors (see below), whose sum is σ = 139767992210. Its totient is φ = 25763685120.

The previous prime is 64409212891. The next prime is 64409212909. The reversal of 64409212900 is 921290446.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64409212891) and next prime (64409212909).

It can be written as a sum of positive squares in 3 ways, for example, as 17131668544 + 47277544356 = 130888^2 + 217434^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64409212900.

It is not an unprimeable number, because it can be changed into a prime (64409212909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 322045965 + ... + 322046164.

Almost surely, 264409212900 is an apocalyptic number.

It is an amenable number.

64409212900 is an abundant number, since it is smaller than the sum of its proper divisors (75358779310).

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

64409212900 is a wasteful number, since it uses less digits than its factorization.

64409212900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644092143 (or 644092136 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 64409212900 in words is "sixty-four billion, four hundred nine million, two hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 644092129 1288184258 2576368516 3220460645 6440921290 12881842580 16102303225 32204606450 64409212900