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45769650696 = 233572113192
BaseRepresentation
bin101010101000000101…
…010111001000001000
311101010202200011100000
4222220011113020020
51222214012310241
633005402243000
73210133416600
oct525005271010
9141122604300
1045769650696
1118457858000
128a541b6460
1344154c9063
142302977c00
1512cd2bceb6
hexaa8157208

45769650696 has 864 divisors, whose sum is σ = 173593536480. Its totient is φ = 11262525120.

The previous prime is 45769650679. The next prime is 45769650701. The reversal of 45769650696 is 69605696754.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45769650696 is a `hidden beast` number, since 4 + 576 + 9 + 6 + 50 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2408928975 + ... + 2408928993.

It is an arithmetic number, because the mean of its divisors is an integer number (200918445).

Almost surely, 245769650696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45769650696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86796768240).

45769650696 is an abundant number, since it is smaller than the sum of its proper divisors (127823885784).

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

45769650696 is a wasteful number, since it uses less digits than its factorization.

45769650696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 45769650696 in words is "forty-five billion, seven hundred sixty-nine million, six hundred fifty thousand, six hundred ninety-six".