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45115230400 = 2652292633697
BaseRepresentation
bin101010000001000100…
…111100100011000000
311022110011021011110021
4222001010330203000
51214343444333100
632420423543224
73154666062652
oct520104744300
9138404234407
1045115230400
111815140a389
1288b0bbab14
13433ca58106
14227daa66d2
151290b00a1a
hexa8113c8c0

45115230400 has 168 divisors, whose sum is σ = 115307485920. Its totient is φ = 17352867840.

The previous prime is 45115230397. The next prime is 45115230431. The reversal of 45115230400 is 403251154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12201352 + ... + 12205048.

Almost surely, 245115230400 is an apocalyptic number.

45115230400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45115230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57653742960).

45115230400 is an abundant number, since it is smaller than the sum of its proper divisors (70192255520).

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

45115230400 is a wasteful number, since it uses less digits than its factorization.

45115230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 45115230400 its reverse (403251154), we get a palindrome (45518481554).

The spelling of 45115230400 in words is "forty-five billion, one hundred fifteen million, two hundred thirty thousand, four hundred".