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23125366016 = 281720832551
BaseRepresentation
bin10101100010011000…
…010001010100000000
32012200122110022102122
4111202120101110000
5334330043203031
614342412503412
71446032240114
oct254230212400
965618408378
1023125366016
119897736845
12459477ab68
13224704463c
141195403744
1590532547b
hex562611500

23125366016 has 72 divisors (see below), whose sum is σ = 48918348864. Its totient is φ = 10873036800.

The previous prime is 23125366007. The next prime is 23125366027. The reversal of 23125366016 is 61066352132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9063941 + ... + 9066491.

It is an arithmetic number, because the mean of its divisors is an integer number (679421512).

Almost surely, 223125366016 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 23125366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24459174432).

23125366016 is an abundant number, since it is smaller than the sum of its proper divisors (25792982848).

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

23125366016 is a wasteful number, since it uses less digits than its factorization.

23125366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 23125366016 in words is "twenty-three billion, one hundred twenty-five million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2083 2176 2551 4166 4352 5102 8332 10204 16664 20408 33328 35411 40816 43367 66656 70822 81632 86734 133312 141644 163264 173468 266624 283288 326528 346936 533248 566576 653056 693872 1133152 1387744 2266304 2775488 4532608 5313733 5550976 9065216 10627466 11101952 21254932 42509864 85019728 90333461 170039456 180666922 340078912 361333844 680157824 722667688 1360315648 1445335376 2890670752 5781341504 11562683008 23125366016