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46002000000 = 27356111741
BaseRepresentation
bin101010110101111011…
…101101000010000000
311101201221212201122210
4222311323231002000
51223203003000000
633044422302120
73215654356035
oct526573550200
9141657781583
1046002000000
1118566a25520
128ab9b87940
13445169b758
14232577b38c
1512e38b7350
hexab5eed080

46002000000 has 896 divisors, whose sum is σ = 180728936640. Its totient is φ = 10240000000.

The previous prime is 46001999999. The next prime is 46002000029. The reversal of 46002000000 is 20064.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46002000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1121999980 + ... + 1122000020.

Almost surely, 246002000000 is an apocalyptic number.

46002000000 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 46002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90364468320).

46002000000 is an abundant number, since it is smaller than the sum of its proper divisors (134726936640).

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

46002000000 is an equidigital number, since it uses as much as digits as its factorization.

46002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 46002000000 its reverse (20064), we get a palindrome (46002020064).

The spelling of 46002000000 in words is "forty-six billion, two million", and thus it is an aban number, an eban number, and an uban number.