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465243055560 = 23335430780607
BaseRepresentation
bin1101100010100101010…
…01011010010111001000
31122110212120212222212000
412301102221122113020
530110304210234220
6553421341151000
745420104502663
oct6612251322710
91573776788760
10465243055560
1116a343637728
1276200b5b460
1334b453a796a
14187371066da
15c17e5b4390
hex6c52a5a5c8

465243055560 has 64 divisors (see below), whose sum is σ = 1550810188800. Its totient is φ = 124064814528.

The previous prime is 465243055547. The next prime is 465243055561. The reversal of 465243055560 is 65550342564.

465243055560 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 4 + 30 + 55 + 560 = 666.

It is a super-2 number, since 2×4652430555602 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (465243055561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215389224 + ... + 215391383.

It is an arithmetic number, because the mean of its divisors is an integer number (24231409200).

Almost surely, 2465243055560 is an apocalyptic number.

465243055560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465243055560 is an abundant number, since it is smaller than the sum of its proper divisors (1085567133240).

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

465243055560 is a wasteful number, since it uses less digits than its factorization.

465243055560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430780627 (or 430780617 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 465243055560 in words is "four hundred sixty-five billion, two hundred forty-three million, fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 430780607 861561214 1292341821 1723122428 2153903035 2584683642 3446244856 3877025463 4307806070 5169367284 6461709105 7754050926 8615612140 10338734568 11631076389 12923418210 15508101852 17231224280 19385127315 23262152778 25846836420 31016203704 38770254630 46524305556 51693672840 58155381945 77540509260 93048611112 116310763890 155081018520 232621527780 465243055560