Search a number
-
+
496127772003872 = 252232176572
BaseRepresentation
bin111000011001110011011111…
…1100111010000111000100000
32102001122100111110110021000002
41300303212333213100320200
51010012024134113110442
64515101541345115132
7206334022456155341
oct16063467747207040
92361570443407002
10496127772003872
111340996742a9918
1247788a77028aa8
13183aa856cb8598
148a729d873c0c8
153c5564dda9732
hex1c339bf9d0e20

496127772003872 has 54 divisors (see below), whose sum is σ = 981206814833973. Its totient is φ = 246937505855232.

The previous prime is 496127772003821. The next prime is 496127772003889. The reversal of 496127772003872 is 278300277721694.

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 409022957667856 + 87104814336016 = 20224316^2 + 9332996^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15750044.

It is a super-2 number, since 2×4961277720038722 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 496127772003799 and 496127772003808.

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, 28098069668 + ... + 28098087324.

Almost surely, 2496127772003872 is an apocalyptic number.

It is an amenable number.

496127772003872 is a deficient number, since it is larger than the sum of its proper divisors (485079042830101).

496127772003872 is an frugal number, since it uses more digits than its factorization.

496127772003872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35770 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 65.

The spelling of 496127772003872 in words is "four hundred ninety-six trillion, one hundred twenty-seven billion, seven hundred seventy-two million, three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 223 446 892 1784 3568 7136 17657 35314 49729 70628 99458 141256 198916 282512 397832 565024 795664 1591328 3937511 7875022 15750044 31500088 63000176 126000352 311769649 623539298 878064953 1247078596 1756129906 2494157192 3512259812 4988314384 7024519624 9976628768 14049039248 28098078496 69524631727 139049263454 278098526908 556197053816 1112394107632 2224788215264 15503992875121 31007985750242 62015971500484 124031943000968 248063886001936 496127772003872