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465813431556 = 223116735243521
BaseRepresentation
bin1101100011101001010…
…01001110010100000100
31122112100100011002121220
412301310221032110010
530112441214302211
6553554114240340
745440201560524
oct6616451162404
91575310132556
10465813431556
1116a6065a1650
127633bb860b0
1334c06600755
141878cb7b684
15c1b46ce806
hex6c74a4e504

465813431556 has 48 divisors (see below), whose sum is σ = 1187468966208. Its totient is φ = 140945817600.

The previous prime is 465813431533. The next prime is 465813431557. The reversal of 465813431556 is 655134318564.

It is a happy number.

It is a super-2 number, since 2×4658134315562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465813431499 and 465813431508.

It is not an unprimeable number, because it can be changed into a prime (465813431557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2532925 + ... + 2710596.

It is an arithmetic number, because the mean of its divisors is an integer number (24738936796).

Almost surely, 2465813431556 is an apocalyptic number.

It is an amenable number.

465813431556 is an abundant number, since it is smaller than the sum of its proper divisors (721655534652).

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

465813431556 is a wasteful number, since it uses less digits than its factorization.

465813431556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244212 (or 5244210 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 51.

The spelling of 465813431556 in words is "four hundred sixty-five billion, eight hundred thirteen million, four hundred thirty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 673 1346 2019 2692 4038 7403 8076 14806 22209 29612 44418 88836 5243521 10487042 15730563 20974084 31461126 57678731 62922252 115357462 173036193 230714924 346072386 692144772 3528889633 7057779266 10586668899 14115558532 21173337798 38817785963 42346675596 77635571926 116453357889 155271143852 232906715778 465813431556