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46878481920 = 293517221121
BaseRepresentation
bin101011101010001011…
…001101111000000000
311111000001010121211010
4223222023031320000
51232001342410140
633311412320520
73246456343644
oct535213157000
9144001117733
1046878481920
1118976754346
129103613140
13456114c5ca
1423a9d34c24
1513457ea880
hexaea2cde00

46878481920 has 240 divisors, whose sum is σ = 159206314608. Its totient is φ = 11765022720.

The previous prime is 46878481907. The next prime is 46878481961. The reversal of 46878481920 is 2918487864.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2208960 + ... + 2230080.

Almost surely, 246878481920 is an apocalyptic number.

46878481920 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 46878481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79603157304).

46878481920 is an abundant number, since it is smaller than the sum of its proper divisors (112327832688).

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

46878481920 is a wasteful number, since it uses less digits than its factorization.

46878481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21181 (or 21148 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 46878481920 in words is "forty-six billion, eight hundred seventy-eight million, four hundred eighty-one thousand, nine hundred twenty".