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46790498664 = 23337313237101
BaseRepresentation
bin101011100100111011…
…100101100101101000
311110202220120121111000
4223210323211211220
51231311331424124
633254550435000
73244340451000
oct534473454550
9143686517430
1046790498664
1118931020208
12909a062a60
134548b55600
14239c391000
15133cc1b6c9
hexae4ee5968

46790498664 has 768 divisors, whose sum is σ = 170233920000. Its totient is φ = 11887948800.

The previous prime is 46790498603. The next prime is 46790498683. The reversal of 46790498664 is 46689409764.

46790498664 is a `hidden beast` number, since 467 + 90 + 4 + 9 + 86 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 463272214 + ... + 463272314.

It is an arithmetic number, because the mean of its divisors is an integer number (221658750).

Almost surely, 246790498664 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 46790498664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85116960000).

46790498664 is an abundant number, since it is smaller than the sum of its proper divisors (123443421336).

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

46790498664 is a wasteful number, since it uses less digits than its factorization.

46790498664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 46790498664 in words is "forty-six billion, seven hundred ninety million, four hundred ninety-eight thousand, six hundred sixty-four".