Search a number
-
+
293228327935921 = 721471216632
BaseRepresentation
bin100001010101100001000101…
…0010100110001111110110001
31102110020100120100021112122011
41002223002022110301332301
5301413223103422422141
62515351122330442521
7115523022214601200
oct10253021224617661
91373210510245564
10293228327935921
1185482487744974
1228a79745893441
13c78040ac45821
14525a480a37237
1523d781d526881
hex10ab08a531fb1

293228327935921 has 27 divisors (see below), whose sum is σ = 341539758568953. Its totient is φ = 251016671523240.

The previous prime is 293228327935919. The next prime is 293228327935957. The reversal of 293228327935921 is 129539723822392.

The square root of 293228327935921 is 17123911.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 293228327935921 - 21 = 293228327935919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (293228327935121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 176324910736 + ... + 176324912398.

It is an arithmetic number, because the mean of its divisors is an integer number (12649620687739).

Almost surely, 2293228327935921 is an apocalyptic number.

293228327935921 is the 17123911-st square number.

293228327935921 is the 8561956-th centered octagonal number.

It is an amenable number.

293228327935921 is a deficient number, since it is larger than the sum of its proper divisors (48311430633032).

293228327935921 is an frugal number, since it uses more digits than its factorization.

293228327935921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6282 (or 3141 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 67.

The spelling of 293228327935921 in words is "two hundred ninety-three trillion, two hundred twenty-eight billion, three hundred twenty-seven million, nine hundred thirty-five thousand, nine hundred twenty-one".

Divisors: 1 7 49 1471 1663 10297 11641 72079 81487 2163841 2446273 2765569 15146887 17123911 19358983 106028209 119867377 135512881 3598467583 4068151999 25189273081 28477063993 176324911567 199339447951 5984251590529 41889761133703 293228327935921