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46233492480 = 2103257143333
BaseRepresentation
bin101011000011101110…
…110001110000000000
311102100002110202122100
4223003232301300000
51224141233224410
633123412110400
73224465126160
oct530356616000
9142302422570
1046233492480
111867566821a
128b63605400
13448a631156
1423483da5a0
151308d928c0
hexac3bb1c00

46233492480 has 264 divisors, whose sum is σ = 183084531552. Its totient is φ = 10567581696.

The previous prime is 46233492479. The next prime is 46233492511. The reversal of 46233492480 is 8429433264.

46233492480 is a `hidden beast` number, since 4 + 62 + 3 + 349 + 248 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250894 + ... + 394226.

Almost surely, 246233492480 is an apocalyptic number.

46233492480 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 46233492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91542265776).

46233492480 is an abundant number, since it is smaller than the sum of its proper divisors (136851039072).

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

46233492480 is a wasteful number, since it uses less digits than its factorization.

46233492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143371 (or 143350 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 46233492480 in words is "forty-six billion, two hundred thirty-three million, four hundred ninety-two thousand, four hundred eighty".