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45735603140 = 2254189754581
BaseRepresentation
bin101010100110000011…
…011110101111000100
311101001101121100212102
4222212003132233010
51222131303300030
633002144411232
73206241132563
oct524603365704
9141041540772
1045735603140
111843a612627
128a44916b18
13440b437986
1422dc233bda
1512ca2e4c45
hexaa60debc4

45735603140 has 24 divisors (see below), whose sum is σ = 96048818712. Its totient is φ = 18293469440.

The previous prime is 45735603119. The next prime is 45735603157. The reversal of 45735603140 is 4130653754.

45735603140 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 4 ways, for example, as 16238914624 + 29496688516 = 127432^2 + 171746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45735603094 and 45735603103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810650 + ... + 865230.

It is an arithmetic number, because the mean of its divisors is an integer number (4002034113).

Almost surely, 245735603140 is an apocalyptic number.

It is an amenable number.

45735603140 is an abundant number, since it is smaller than the sum of its proper divisors (50313215572).

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

45735603140 is a wasteful number, since it uses less digits than its factorization.

45735603140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96487 (or 96485 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 45735603140 in words is "forty-five billion, seven hundred thirty-five million, six hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41897 54581 83794 109162 167588 209485 218324 272905 418970 545810 837940 1091620 2286780157 4573560314 9147120628 11433900785 22867801570 45735603140