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461088139999369 = 292331222372
BaseRepresentation
bin110100011010110110111001…
…0110010110111100010001001
32020110120121002021000221112011
41220311231302302313202021
5440413432002314434434
64312352544534015521
7166056342642310231
oct15065556262674211
92213517067027464
10461088139999369
11123a0a422539783
1243869b791a75a1
1316a3856aa4994c
1481c0adc270cc1
153848e62367e64
hex1a35b72cb7889

461088139999369 has 27 divisors (see below), whose sum is σ = 479197272556821. Its totient is φ = 443645158276320.

The previous prime is 461088139999343. The next prime is 461088139999381. The reversal of 461088139999369 is 963999931880164.

The square root of 461088139999369 is 21472963.

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 51377428518025 + 409710711481344 = 7167805^2 + 20241312^2 .

It is a de Polignac number, because none of the positive numbers 2k-461088139999369 is a prime.

It is a super-2 number, since 2×4610881399993692 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461088139999969) 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, 206118970719 + ... + 206118972955.

Almost surely, 2461088139999369 is an apocalyptic number.

461088139999369 is the 21472963-rd square number.

461088139999369 is the 10736482-nd centered octagonal number.

It is an amenable number.

461088139999369 is a deficient number, since it is larger than the sum of its proper divisors (18109132557452).

461088139999369 is an frugal number, since it uses more digits than its factorization.

461088139999369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 4897760256, while the sum is 85.

The spelling of 461088139999369 in words is "four hundred sixty-one trillion, eighty-eight billion, one hundred thirty-nine million, nine hundred ninety-nine thousand, three hundred sixty-nine".

Divisors: 1 29 331 841 2237 9599 64873 109561 278371 740447 1881317 3177269 5004169 21472963 92140801 145120901 245087957 622715927 1656379939 4208506129 7107550753 48035018231 206118971837 548261759809 1393015528699 15899591034461 461088139999369