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23174130304 = 271331743933
BaseRepresentation
bin10101100101010010…
…010010101010000000
32012211001012210110101
4111211102102222000
5334430034132204
614351314012144
71450163600053
oct254522225200
965731183411
1023174130304
119912213106
1245a8b77054
132254189450
14119ba98a9a
15909758ea4
hex565492a80

23174130304 has 64 divisors (see below), whose sum is σ = 49876512840. Its totient is φ = 10661769216.

The previous prime is 23174130293. The next prime is 23174130307. The reversal of 23174130304 is 40303147132.

It can be written as a sum of positive squares in 4 ways, for example, as 3764067904 + 19410062400 = 61352^2 + 139320^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×231741303042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23174130307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505522 + ... + 549454.

Almost surely, 223174130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23174130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24938256420).

23174130304 is an abundant number, since it is smaller than the sum of its proper divisors (26702382536).

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

23174130304 is a wasteful number, since it uses less digits than its factorization.

23174130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44277 (or 44265 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 23174130304 its reverse (40303147132), we get a palindrome (63477277436).

The spelling of 23174130304 in words is "twenty-three billion, one hundred seventy-four million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 317 416 634 832 1268 1664 2536 4121 5072 8242 10144 16484 20288 32968 40576 43933 65936 87866 131872 175732 263744 351464 527488 571129 702928 1142258 1405856 2284516 2811712 4569032 5623424 9138064 13926761 18276128 27853522 36552256 55707044 73104512 111414088 181047893 222828176 362095786 445656352 724191572 891312704 1448383144 1782625408 2896766288 5793532576 11587065152 23174130304