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23411448064 = 287321312
BaseRepresentation
bin10101110011011011…
…100101100100000000
32020102120202210020001
4111303123211210000
5340421312314224
614431032325344
71456105011424
oct256333454400
966376683201
1023411448064
119a24174494
124654543854
1322913ab464
1411c13d2b84
159204d5544
hex5736e5900

23411448064 has 81 divisors (see below), whose sum is σ = 47744814369. Its totient is φ = 11457239040.

The previous prime is 23411448059. The next prime is 23411448113. The reversal of 23411448064 is 46084411432.

The square root of 23411448064 is 153008.

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

It can be written as a sum of positive squares in only one way, i.e., 13289478400 + 10121969664 = 115280^2 + 100608^2 .

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, 178713279 + ... + 178713409.

Almost surely, 223411448064 is an apocalyptic number.

23411448064 is the 153008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23411448064

23411448064 is an abundant number, since it is smaller than the sum of its proper divisors (24333366305).

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

23411448064 is an frugal number, since it uses more digits than its factorization.

23411448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 23411448064 its reverse (46084411432), we get a palindrome (69495859496).

The spelling of 23411448064 in words is "twenty-three billion, four hundred eleven million, four hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 73 128 131 146 256 262 292 524 584 1048 1168 2096 2336 4192 4672 5329 8384 9344 9563 10658 16768 17161 18688 19126 21316 33536 34322 38252 42632 68644 76504 85264 137288 153008 170528 274576 306016 341056 549152 612032 682112 698099 1098304 1224064 1252753 1364224 1396198 2196608 2448128 2505506 2792396 4393216 5011012 5584792 10022024 11169584 20044048 22339168 40088096 44678336 80176192 89356672 91450969 160352384 178713344 182901938 320704768 365803876 731607752 1463215504 2926431008 5852862016 11705724032 23411448064