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483035922432 = 214327266853
BaseRepresentation
bin1110000011101110010…
…11110100000000000000
31201011210121022021122100
413001313023310000000
530403224144004212
61005523104110400
746620036411300
oct7016713640000
91634717267570
10483035922432
11176944204988
1279747905400
133671c72425b
1419544215600
15c8716a4bdc
hex70772f4000

483035922432 has 270 divisors, whose sum is σ = 1623238318338. Its totient is φ = 138008199168.

The previous prime is 483035922427. The next prime is 483035922433. The reversal of 483035922432 is 234229530384.

483035922432 is a `hidden beast` number, since 4 + 8 + 3 + 0 + 3 + 592 + 24 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 480947798016 + 2088124416 = 693504^2 + 45696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483035922433) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7191918 + ... + 7258770.

Almost surely, 2483035922432 is an apocalyptic number.

483035922432 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 483035922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811619159169).

483035922432 is an abundant number, since it is smaller than the sum of its proper divisors (1140202395906).

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

483035922432 is an equidigital number, since it uses as much as digits as its factorization.

483035922432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66901 (or 66865 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 483035922432 in words is "four hundred eighty-three billion, thirty-five million, nine hundred twenty-two thousand, four hundred thirty-two".