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46868052000 = 2535371150723
BaseRepresentation
bin101011101001100011…
…011011100000100000
311110222022111201122210
4223221203123200200
51231441210131000
633310401002120
73246301604010
oct535143334040
9143868451583
1046868052000
1118970880180
129100023340
13455bc3a163
1423a87bbc40
15134493a350
hexae98db820

46868052000 has 384 divisors, whose sum is σ = 191429941248. Its totient is φ = 9738624000.

The previous prime is 46868051987. The next prime is 46868052053. The reversal of 46868052000 is 25086864.

It is a super-2 number, since 2×468680520002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46868052000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 898639 + ... + 949361.

It is an arithmetic number, because the mean of its divisors is an integer number (498515472).

Almost surely, 246868052000 is an apocalyptic number.

46868052000 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 46868052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95714970624).

46868052000 is an abundant number, since it is smaller than the sum of its proper divisors (144561889248).

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

46868052000 is a wasteful number, since it uses less digits than its factorization.

46868052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50769 (or 50751 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 46868052000 in words is "forty-six billion, eight hundred sixty-eight million, fifty-two thousand".