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46181986872 = 233721931611093
BaseRepresentation
bin101011000000101010…
…010011001000111000
311102012111120000020020
4223000222103020320
51224040042034442
633114332130440
73223301261100
oct530052231070
9142174500206
1046181986872
11186495892aa
128b4a306a20
13447ca69668
142341630200
1513045bb9ec
hexac0a93238

46181986872 has 384 divisors, whose sum is σ = 148461926400. Its totient is φ = 11887948800.

The previous prime is 46181986867. The next prime is 46181986883. The reversal of 46181986872 is 27868918164.

It is a super-2 number, since 2×461819868722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 42251958 + ... + 42253050.

It is an arithmetic number, because the mean of its divisors is an integer number (386619600).

Almost surely, 246181986872 is an apocalyptic number.

46181986872 is a gapful number since it is divisible by the number (42) 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 46181986872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74230963200).

46181986872 is an abundant number, since it is smaller than the sum of its proper divisors (102279939528).

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

46181986872 is a wasteful number, since it uses less digits than its factorization.

46181986872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1216 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 60.

The spelling of 46181986872 in words is "forty-six billion, one hundred eighty-one million, nine hundred eighty-six thousand, eight hundred seventy-two".