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451159395856 = 24132129172
BaseRepresentation
bin1101001000010110011…
…00100000111000010000
31121010112001222221201221
412210023030200320100
524342433301131411
6543132035334424
744411102406421
oct6441314407020
91533461887657
10451159395856
11164376798744
1273530451414
133370c656a00
1417b9c893648
15bb07e58071
hex690b320e10

451159395856 has 45 divisors (see below), whose sum is σ = 946607031111. Its totient is φ = 208211293056.

The previous prime is 451159395853. The next prime is 451159395877. The reversal of 451159395856 is 658593951154.

The square root of 451159395856 is 671684.

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

It can be written as a sum of positive squares in 4 ways, for example, as 51128445456 + 400030950400 = 226116^2 + 632480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 451159395794 and 451159395803.

It is not an unprimeable number, because it can be changed into a prime (451159395853) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34921110 + ... + 34934026.

Almost surely, 2451159395856 is an apocalyptic number.

451159395856 is the 671684-th square number.

It is an amenable number.

451159395856 is an abundant number, since it is smaller than the sum of its proper divisors (495447635255).

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

451159395856 is an frugal number, since it uses more digits than its factorization.

451159395856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25868 (or 12932 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 61.

The spelling of 451159395856 in words is "four hundred fifty-one billion, one hundred fifty-nine million, three hundred ninety-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 12917 25834 51668 103336 167921 206672 335842 671684 1343368 2182973 2686736 4365946 8731892 17463784 34927568 166848889 333697778 667395556 1334791112 2169035557 2669582224 4338071114 8676142228 17352284456 28197462241 34704568912 56394924482 112789848964 225579697928 451159395856