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45040406432 = 257228724749
BaseRepresentation
bin101001111100100111…
…100000111110100000
311022020221110201021012
4221330213200332200
51214220321001212
632405152120052
73153100065200
oct517447407640
9138227421235
1045040406432
1118113153a9a
12888bb36028
13432a3ba988
142273b8a400
151289270922
hexa7c9e0fa0

45040406432 has 36 divisors (see below), whose sum is σ = 103150577250. Its totient is φ = 19303030656.

The previous prime is 45040406431. The next prime is 45040406449. The reversal of 45040406432 is 23460404054.

45040406432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43245697936 + 1794708496 = 207956^2 + 42364^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (45040406431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14360807 + ... + 14363942.

Almost surely, 245040406432 is an apocalyptic number.

It is an amenable number.

45040406432 is an abundant number, since it is smaller than the sum of its proper divisors (58110170818).

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

45040406432 is a wasteful number, since it uses less digits than its factorization.

45040406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28724773 (or 28724758 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 45040406432 in words is "forty-five billion, forty million, four hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 28724749 57449498 114898996 201073243 229797992 402146486 459595984 804292972 919191968 1407512701 1608585944 2815025402 3217171888 5630050804 6434343776 11260101608 22520203216 45040406432