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46923319872 = 26331121361283
BaseRepresentation
bin101011101100110110…
…010000101001000000
311111010011111121221000
4223230312100221000
51232044332213442
633320053332000
73250542431562
oct535466205100
9144104447830
1046923319872
1118999a99800
129116637000
13456a51b240
1423b1c87332
151349705d4c
hexaecd90a40

46923319872 has 672 divisors, whose sum is σ = 166553367680. Its totient is φ = 12864614400.

The previous prime is 46923319831. The next prime is 46923319873. The reversal of 46923319872 is 27891332964.

46923319872 is a `hidden beast` number, since 469 + 23 + 3 + 1 + 98 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46923319873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165806643 + ... + 165806925.

Almost surely, 246923319872 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 46923319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83276683840).

46923319872 is an abundant number, since it is smaller than the sum of its proper divisors (119630047808).

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

46923319872 is a wasteful number, since it uses less digits than its factorization.

46923319872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 373 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 46923319872 in words is "forty-six billion, nine hundred twenty-three million, three hundred nineteen thousand, eight hundred seventy-two".