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522949463432 = 2311421132
BaseRepresentation
bin1111001110000100011…
…01111000110110001000
31211222211020200020200122
413213002031320312020
532032000030312212
61040123433522412
752532114045114
oct7470215706610
91758736606618
10522949463432
11191866380000
1285426873408
133a4108c4536
141b44d118744
15d90a7ae272
hex79c2378d88

522949463432 has 60 divisors (see below), whose sum is σ = 1079087260725. Its totient is φ = 237591805440.

The previous prime is 522949463429. The next prime is 522949463473. The reversal of 522949463432 is 234364949225.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 277554063556 + 245395399876 = 526834^2 + 495374^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=511346.

It is a super-2 number, since 2×5229494634322 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 247490408 + ... + 247492520.

Almost surely, 2522949463432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522949463432

522949463432 is an abundant number, since it is smaller than the sum of its proper divisors (556137797293).

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

522949463432 is an frugal number, since it uses more digits than its factorization.

522949463432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 2126 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 53.

The spelling of 522949463432 in words is "five hundred twenty-two billion, nine hundred forty-nine million, four hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2113 2662 4226 5324 8452 10648 14641 16904 23243 29282 46486 58564 92972 117128 185944 255673 511346 1022692 2045384 2812403 4464769 5624806 8929538 11249612 17859076 22499224 30936433 35718152 49112459 61872866 98224918 123745732 196449836 247491464 392899672 540237049 1080474098 2160948196 4321896392 5942607539 11885215078 23770430156 47540860312 65368682929 130737365858 261474731716 522949463432