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45369000000 = 263256712
BaseRepresentation
bin101010010000001101…
…000000000001000000
311100002211202222220100
4222100031000001000
51220403431000000
632501531042400
73164200065012
oct522015000100
9140084688810
1045369000000
1118271688225
128961ba0400
1343804ba53c
1422a56841b2
1512a802ba00
hexa90340040

45369000000 has 441 divisors, whose sum is σ = 164872166953. Its totient is φ = 11928000000.

The previous prime is 45368999987. The next prime is 45369000011. The reversal of 45369000000 is 96354.

It is a happy number.

The square root of 45369000000 is 213000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 39747599424 + 5621400576 = 199368^2 + 74976^2 .

It is a super-2 number, since 2×453690000002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 638999965 + ... + 639000035.

Almost surely, 245369000000 is an apocalyptic number.

45369000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45369000000 is the 213000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45369000000

45369000000 is an abundant number, since it is smaller than the sum of its proper divisors (119503166953).

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

45369000000 is an frugal number, since it uses more digits than its factorization.

45369000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 45369000000 its reverse (96354), we get a palindrome (45369096354).

The spelling of 45369000000 in words is "forty-five billion, three hundred sixty-nine million", and thus it is an aban number.