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520967322752 = 2713124872
BaseRepresentation
bin1111001010011000001…
…00100111110010000000
31211210201002221001211212
413211030010213302000
532013420113312002
61035155025425252
752432025115242
oct7451404476200
91753632831755
10520967322752
11190a39521408
1284b72a9b228
133a186061126
141b301b8c092
15d841778352
hex794c127c80

520967322752 has 72 divisors (see below), whose sum is σ = 1047999637755. Its totient is φ = 257964445440.

The previous prime is 520967322739. The next prime is 520967322787. The reversal of 520967322752 is 257223769025.

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 only one way, i.e., 260483661376 + 260483661376 = 510376^2 + 510376^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=510376.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 520967322752.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1069747853 + ... + 1069748339.

Almost surely, 2520967322752 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 520967322752

520967322752 is an abundant number, since it is smaller than the sum of its proper divisors (527032315003).

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

520967322752 is an frugal number, since it uses more digits than its factorization.

520967322752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 50.

Multiplying 520967322752 by its sum of digits (50), we get a square (26048366137600 = 51037602).

The spelling of 520967322752 in words is "five hundred twenty billion, nine hundred sixty-seven million, three hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 131 262 487 524 974 1048 1948 2096 3896 4192 7792 8384 15584 16768 17161 31168 34322 62336 63797 68644 127594 137288 237169 255188 274576 474338 510376 549152 948676 1020752 1098304 1897352 2041504 2196608 3794704 4083008 7589408 8166016 8357407 15178816 16714814 30357632 31069139 33429628 62138278 66859256 124276556 133718512 248553112 267437024 497106224 534874048 994212448 1069748096 1988424896 3976849792 4070057209 8140114418 16280228836 32560457672 65120915344 130241830688 260483661376 520967322752