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46940257936 = 24112132973881
BaseRepresentation
bin101011101101110110…
…110111111010010000
311111011100101011120201
4223231312313322100
51232113201223221
633321500344544
73251136415645
oct535566677220
9144140334521
1046940257936
11189a8608600
129120245154
134570b9ba70
1423b4215dcc
15134ae4e891
hexaeddb7e90

46940257936 has 240 divisors, whose sum is σ = 113021984880. Its totient is φ = 18734284800.

The previous prime is 46940257919. The next prime is 46940257943. The reversal of 46940257936 is 63975204964.

It can be written as a sum of positive squares in 8 ways, for example, as 4808590336 + 42131667600 = 69344^2 + 205260^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53280216 + ... + 53281096.

It is an arithmetic number, because the mean of its divisors is an integer number (470924937).

Almost surely, 246940257936 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 46940257936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56510992440).

46940257936 is an abundant number, since it is smaller than the sum of its proper divisors (66081726944).

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

46940257936 is a wasteful number, since it uses less digits than its factorization.

46940257936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 46940257936 in words is "forty-six billion, nine hundred forty million, two hundred fifty-seven thousand, nine hundred thirty-six".