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46232968320 = 2733571134747
BaseRepresentation
bin101011000011101100…
…110001110010000000
311102100001111010122000
4223003230301302000
51224141114441240
633123352544000
73224460514050
oct530354616200
9142301433560
1046232968320
111867533a430
128b633b2000
13448a4a96b6
142348301560
151308cdc430
hexac3b31c80

46232968320 has 512 divisors, whose sum is σ = 204151449600. Its totient is φ = 9606574080.

The previous prime is 46232968303. The next prime is 46232968339. The reversal of 46232968320 is 2386923264.

It is a happy number.

46232968320 is a `hidden beast` number, since 4 + 6 + 232 + 96 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1313187 + ... + 1347933.

It is an arithmetic number, because the mean of its divisors is an integer number (398733300).

Almost surely, 246232968320 is an apocalyptic number.

46232968320 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 46232968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102075724800).

46232968320 is an abundant number, since it is smaller than the sum of its proper divisors (157918481280).

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

46232968320 is a wasteful number, since it uses less digits than its factorization.

46232968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34793 (or 34775 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 46232968320 in words is "forty-six billion, two hundred thirty-two million, nine hundred sixty-eight thousand, three hundred twenty".