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461465512053220 = 22523399026933917
BaseRepresentation
bin110100011101100110100111…
…1111011000000100111100100
32020111220200010222010112212101
41220323031033323000213210
5440441122332041200340
64313242155110501444
7166125532401660613
oct15073151773004744
92214820128115771
10461465512053220
1112404547419a234
124390b136364884
1316a6501b40422c
1481d509b11387a
153853b9c444c9a
hex1a3b34fec09e4

461465512053220 has 24 divisors (see below), whose sum is σ = 973236706546104. Its totient is φ = 183793989348096.

The previous prime is 461465512053191. The next prime is 461465512053251. The reversal of 461465512053220 is 22350215564164.

It can be written as a sum of positive squares in 4 ways, for example, as 111293933564836 + 350171578488384 = 10549594^2 + 18712872^2 .

It is a super-2 number, since 2×4614655120532202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49513462299 + ... + 49513471618.

It is an arithmetic number, because the mean of its divisors is an integer number (40551529439421).

Almost surely, 2461465512053220 is an apocalyptic number.

It is an amenable number.

461465512053220 is an abundant number, since it is smaller than the sum of its proper divisors (511771194492884).

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

461465512053220 is a wasteful number, since it uses less digits than its factorization.

461465512053220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99026934159 (or 99026934157 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 461465512053220 in words is "four hundred sixty-one trillion, four hundred sixty-five billion, five hundred twelve million, fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 99026933917 198053867834 396107735668 495134669585 990269339170 1980538678340 23073275602661 46146551205322 92293102410644 115366378013305 230732756026610 461465512053220