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46228494312 = 23347113131931
BaseRepresentation
bin101011000011011011…
…101101011111101000
311102022202001211110000
4223003123231133220
51224133443304222
633123113023000
73224404501230
oct530333553750
9142282054400
1046228494312
1118672864000
128b619b4a60
1344895a1160
142347898cc0
1513087069ac
hexac36ed7e8

46228494312 has 1280 divisors, whose sum is σ = 190465228800. Its totient is φ = 10161676800.

The previous prime is 46228494311. The next prime is 46228494329. The reversal of 46228494312 is 21349482264.

46228494312 is a `hidden beast` number, since 4 + 622 + 8 + 4 + 9 + 4 + 3 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46228494311) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1491241737 + ... + 1491241767.

It is an arithmetic number, because the mean of its divisors is an integer number (148800960).

Almost surely, 246228494312 is an apocalyptic number.

46228494312 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 46228494312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95232614400).

46228494312 is an abundant number, since it is smaller than the sum of its proper divisors (144236734488).

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

46228494312 is a wasteful number, since it uses less digits than its factorization.

46228494312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 46228494312 in words is "forty-six billion, two hundred twenty-eight million, four hundred ninety-four thousand, three hundred twelve".