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23144060264 = 23136117772053
BaseRepresentation
bin10101100011011111…
…100101010101101000
32012201221122002010012
4111203133211111220
5334344334412024
614344321311052
71446350160233
oct254337452550
965657562105
1023144060264
1198a7245036
12459aa95488
13224ab8b620
141197aac41a
15906cb950e
hex5637e5568

23144060264 has 64 divisors (see below), whose sum is σ = 47549196240. Its totient is φ = 10495733760.

The previous prime is 23144060263. The next prime is 23144060297. The reversal of 23144060264 is 46206044132.

It can be written as a sum of positive squares in 8 ways, for example, as 2015112100 + 21128948164 = 44890^2 + 145358^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23144060264.

It is not an unprimeable number, because it can be changed into a prime (23144060263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11272262 + ... + 11274314.

Almost surely, 223144060264 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 23144060264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774598120).

23144060264 is an abundant number, since it is smaller than the sum of its proper divisors (24405135976).

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

23144060264 is a wasteful number, since it uses less digits than its factorization.

23144060264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 23144060264 in words is "twenty-three billion, one hundred forty-four million, sixty thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 1777 2053 3172 3554 4106 6344 7108 8212 14216 16424 23101 26689 46202 53378 92404 106756 108397 125233 184808 213512 216794 250466 433588 500932 867176 1001864 1409161 1628029 2818322 3256058 3648181 5636644 6512116 7296362 11273288 13024232 14592724 29185448 47426353 94852706 189705412 222539041 379410824 445078082 890156164 1780312328 2893007533 5786015066 11572030132 23144060264