Search a number
-
+
465106101512 = 231337120869569
BaseRepresentation
bin1101100010010100111…
…10111110010100001000
31122110112001012000012212
412301022132332110020
530110014130222022
6553400005524252
745413522430023
oct6611236762410
91573461160185
10465106101512
1116a2832a6068
1276183113688
1334b22bc5b70
1418722c561ba
15c1725603e2
hex6c4a7be508

465106101512 has 32 divisors (see below), whose sum is σ = 964539168600. Its totient is φ = 208862613504.

The previous prime is 465106101503. The next prime is 465106101539. The reversal of 465106101512 is 215101601564.

It can be written as a sum of positive squares in 4 ways, for example, as 252701257636 + 212404843876 = 502694^2 + 460874^2 .

It is a super-2 number, since 2×4651061015122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60430937 + ... + 60438632.

Almost surely, 2465106101512 is an apocalyptic number.

It is an amenable number.

465106101512 is an abundant number, since it is smaller than the sum of its proper divisors (499433067088).

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

465106101512 is a wasteful number, since it uses less digits than its factorization.

465106101512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120869625 (or 120869621 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 465106101512 in words is "four hundred sixty-five billion, one hundred six million, one hundred one thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 3848 120869569 241739138 483478276 966956552 1571304397 3142608794 4472174053 6285217588 8944348106 12570435176 17888696212 35777392424 58138262689 116276525378 232553050756 465106101512