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45656037840 = 24357192276301
BaseRepresentation
bin101010100001010011…
…111101100111010000
311100211211220000210110
4222201103331213100
51222000421202330
632550223201320
73204253630020
oct524123754720
9140754800713
1045656037840
11183a9708a86
128a22146240
1343c7aca40a
1422d1841a80
1512c3329db0
hexaa14fd9d0

45656037840 has 320 divisors, whose sum is σ = 171043338240. Its totient is φ = 9841305600.

The previous prime is 45656037827. The next prime is 45656037841. The reversal of 45656037840 is 4873065654.

45656037840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45656037840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45656037841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7242690 + ... + 7248990.

It is an arithmetic number, because the mean of its divisors is an integer number (534510432).

Almost surely, 245656037840 is an apocalyptic number.

45656037840 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 45656037840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85521669120).

45656037840 is an abundant number, since it is smaller than the sum of its proper divisors (125387300400).

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

45656037840 is a wasteful number, since it uses less digits than its factorization.

45656037840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6570 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 45656037840 in words is "forty-five billion, six hundred fifty-six million, thirty-seven thousand, eight hundred forty".