Search a number
-
+
733023046242 = 232531094970177
BaseRepresentation
bin10101010101010111001…
…01000000101001100010
32121002001122011221221200
422222223211000221202
544002212344434432
61320425055502030
7103646665042164
oct12525345005142
92532048157850
10733023046242
11262967444053
12ba093b27916
135417bc253a6
142769b034934
15141032c8a7c
hexaaab940a62

733023046242 has 48 divisors (see below), whose sum is σ = 1618353804600. Its totient is φ = 239705496576.

The previous prime is 733023046211. The next prime is 733023046277. The reversal of 733023046242 is 242640320337.

733023046242 is a `hidden beast` number, since 7 + 3 + 3 + 0 + 23 + 0 + 4 + 624 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 315654072561 + 417368973681 = 561831^2 + 646041^2 .

It is a junction number, because it is equal to n+sod(n) for n = 733023046197 and 733023046206.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10410258 + ... + 10480434.

Almost surely, 2733023046242 is an apocalyptic number.

733023046242 is an abundant number, since it is smaller than the sum of its proper divisors (885330758358).

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

733023046242 is a wasteful number, since it uses less digits than its factorization.

733023046242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81187 (or 81184 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Adding to 733023046242 its reverse (242640320337), we get a palindrome (975663366579).

The spelling of 733023046242 in words is "seven hundred thirty-three billion, twenty-three million, forty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 10949 21898 32847 65694 70177 98541 140354 197082 210531 421062 580297 631593 1160594 1263186 1740891 3481782 3719381 5222673 7438762 10445346 11158143 22316286 33474429 66948858 768367973 1536735946 2305103919 4610207838 6915311757 13830623514 40723502569 81447005138 122170507707 244341015414 366511523121 733023046242