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46411930116 = 2232193143109467
BaseRepresentation
bin101011001110010111…
…011101101000000100
311102210112020100001200
4223032113131220010
51230022423230431
633153224422500
73232062616416
oct531627355004
9142715210050
1046411930116
1118757363042
128bb3317a30
1344b85a8b56
142363da89b6
15131988cee6
hexace5dda04

46411930116 has 288 divisors, whose sum is σ = 131920588800. Its totient is φ = 13697268480.

The previous prime is 46411930087. The next prime is 46411930139. The reversal of 46411930116 is 61103911464.

46411930116 is a `hidden beast` number, since 4 + 641 + 1 + 9 + 3 + 0 + 1 + 1 + 6 = 666.

46411930116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99382915 + ... + 99383381.

It is an arithmetic number, because the mean of its divisors is an integer number (458057600).

Almost surely, 246411930116 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 46411930116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65960294400).

46411930116 is an abundant number, since it is smaller than the sum of its proper divisors (85508658684).

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

46411930116 is a wasteful number, since it uses less digits than its factorization.

46411930116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 46411930116 in words is "forty-six billion, four hundred eleven million, nine hundred thirty thousand, one hundred sixteen".