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45697448160 = 25335713116243
BaseRepresentation
bin101010100011110001…
…111011100011100000
311100221201210220002000
4222203301323203200
51222042021320120
632554302524000
73205265620560
oct524361734340
9140851726060
1045697448160
1118420022191
128a33b96600
134403568b70
1422d7140da0
1512c6ca9990
hexaa3c7b8e0

45697448160 has 384 divisors, whose sum is σ = 196852239360. Its totient is φ = 9641576448.

The previous prime is 45697448143. The next prime is 45697448177. The reversal of 45697448160 is 6184479654.

45697448160 is a `hidden beast` number, since 4 + 56 + 97 + 448 + 1 + 60 = 666.

45697448160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45697448143) and next prime (45697448177).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45697448097 and 45697448106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334999 + ... + 451241.

It is an arithmetic number, because the mean of its divisors is an integer number (512636040).

Almost surely, 245697448160 is an apocalyptic number.

45697448160 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 45697448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98426119680).

45697448160 is an abundant number, since it is smaller than the sum of its proper divisors (151154791200).

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

45697448160 is a wasteful number, since it uses less digits than its factorization.

45697448160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116287 (or 116273 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 45697448160 in words is "forty-five billion, six hundred ninety-seven million, four hundred forty-eight thousand, one hundred sixty".