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23094273024 = 2103215832
BaseRepresentation
bin10101100000100001…
…101010010000000000
32012121110221121212100
4111200201222100000
5334244113214044
614335342230400
71445204040024
oct254041522000
965543847770
1023094273024
11988112a159
124586285400
132240779014
14119122c384
15902732869
hex56086a400

23094273024 has 99 divisors (see below), whose sum is σ = 66726364003. Its totient is φ = 7693228032.

The previous prime is 23094273001. The next prime is 23094273043. The reversal of 23094273024 is 42037249032.

It is a happy number.

The square root of 23094273024 is 151968.

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

23094273024 is a `hidden beast` number, since 2 + 309 + 42 + 7 + 302 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23094273024.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14588137 + ... + 14589719.

Almost surely, 223094273024 is an apocalyptic number.

23094273024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23094273024 is the 151968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23094273024

23094273024 is an abundant number, since it is smaller than the sum of its proper divisors (43632090979).

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

23094273024 is an frugal number, since it uses more digits than its factorization.

23094273024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 23094273024 by its sum of digits (36), we get a square (831393828864 = 9118082).

23094273024 divided by its sum of digits (36) gives a square (641507584 = 253282).

The spelling of 23094273024 in words is "twenty-three billion, ninety-four million, two hundred seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1583 2304 3072 3166 4608 4749 6332 9216 9498 12664 14247 18996 25328 28494 37992 50656 56988 75984 101312 113976 151968 202624 227952 303936 405248 455904 607872 810496 911808 1215744 1620992 1823616 2431488 2505889 3647232 4862976 5011778 7294464 7517667 10023556 14588928 15035334 20047112 22553001 30070668 40094224 45106002 60141336 80188448 90212004 120282672 160376896 180424008 240565344 320753792 360848016 481130688 641507584 721696032 962261376 1283015168 1443392064 1924522752 2566030336 2886784128 3849045504 5773568256 7698091008 11547136512 23094273024