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483093112401 = 32191212132
BaseRepresentation
bin1110000011110101001…
…01111110011001010001
31201011221120220211112100
413001322211332121101
530403333314044101
61005532505551013
746621332463014
oct7017245763121
91634846824470
10483093112401
11176973516619
1279762aa5469
133672b529183
141954ba6137b
15c8766eee86
hex707a97e651

483093112401 has 27 divisors (see below), whose sum is σ = 702052472667. Its totient is φ = 320111767440.

The previous prime is 483093112393. The next prime is 483093112429. The reversal of 483093112401 is 104211390384.

The square root of 483093112401 is 695049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19707948225 + 463385164176 = 140385^2 + 680724^2 .

It is not a de Polignac number, because 483093112401 - 23 = 483093112393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (483093111401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 398262471 + ... + 398263683.

Almost surely, 2483093112401 is an apocalyptic number.

483093112401 is the 695049-th square number.

483093112401 is the 347525-th centered octagonal number.

It is an amenable number.

483093112401 is a deficient number, since it is larger than the sum of its proper divisors (218959360266).

483093112401 is an frugal number, since it uses more digits than its factorization.

483093112401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 483093112401 by its sum of digits (36), we get a square (17391352046436 = 41702942).

The spelling of 483093112401 in words is "four hundred eighty-three billion, ninety-three million, one hundred twelve thousand, four hundred one".

Divisors: 1 3 9 191 573 1213 1719 3639 10917 36481 109443 231683 328329 695049 1471369 2085147 4414107 13242321 44251453 132754359 281031479 398263077 843094437 2529283311 53677012489 161031037467 483093112401