Search a number
-
+
45923218067456 = 21293711965553
BaseRepresentation
bin10100111000100010101010…
…00110011001000000000000
320000121012212000201020212022
422130101111012121000000
522004401222311124311
6241400500220021012
712446562103643162
oct1234212506310000
9200535760636768
1045923218067456
11136a5a22424124
125198288991768
131c81705418b82
14b4a9a4a9c932
1554987cea25db
hex29c455199000

45923218067456 has 52 divisors (see below), whose sum is σ = 91933241939532. Its totient is φ = 22937101664256.

The previous prime is 45923218067347. The next prime is 45923218067459. The reversal of 45923218067456 is 65476081232954.

It can be written as a sum of positive squares in 2 ways, for example, as 22112565760000 + 23810652307456 = 4702400^2 + 4879616^2 .

It is a super-2 number, since 2×459232180674562 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45923218067459) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2144825 + ... + 9820728.

It is a 1-persistent number, because it is pandigital, but 2⋅45923218067456 = 91846436134912 is not.

Almost surely, 245923218067456 is an apocalyptic number.

It is an amenable number.

45923218067456 is an abundant number, since it is smaller than the sum of its proper divisors (46010023872076).

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

45923218067456 is an equidigital number, since it uses as much as digits as its factorization.

45923218067456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966514 (or 11966492 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 62.

The spelling of 45923218067456 in words is "forty-five trillion, nine hundred twenty-three billion, two hundred eighteen million, sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 937 1024 1874 2048 3748 4096 7496 14992 29984 59968 119936 239872 479744 959488 1918976 3837952 11965553 23931106 47862212 95724424 191448848 382897696 765795392 1531590784 3063181568 6126363136 11211723161 12252726272 22423446322 24505452544 44846892644 49010905088 89693785288 179387570576 358775141152 717550282304 1435100564608 2870201129216 5740402258432 11480804516864 22961609033728 45923218067456