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23621466648 = 23313217873259
BaseRepresentation
bin10101111111111100…
…101111101000011000
32020222012221211120010
4111333330233220120
5341334043413043
614503534001520
71464235103463
oct257774575030
966865854503
1023621466648
11a02177a56a
1246b29462a0
1322c5a62900
1412012622da
15933b6d133
hex57ff2fa18

23621466648 has 96 divisors (see below), whose sum is σ = 64001102400. Its totient is φ = 7261847424.

The previous prime is 23621466641. The next prime is 23621466689. The reversal of 23621466648 is 84666412632.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23621466597 and 23621466606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23621466641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7246443 + ... + 7249701.

It is an arithmetic number, because the mean of its divisors is an integer number (666678150).

Almost surely, 223621466648 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 23621466648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32000551200).

23621466648 is an abundant number, since it is smaller than the sum of its proper divisors (40379635752).

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

23621466648 is a wasteful number, since it uses less digits than its factorization.

23621466648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5064 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 23621466648 in words is "twenty-three billion, six hundred twenty-one million, four hundred sixty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 1787 2028 3259 3574 4056 5361 6518 7148 9777 10722 13036 14296 19554 21444 23231 26072 39108 42367 42888 46462 69693 78216 84734 92924 127101 139386 169468 185848 254202 278772 302003 338936 508404 550771 557544 604006 906009 1016808 1101542 1208012 1652313 1812018 2203084 2416024 3304626 3624036 4406168 5823833 6609252 7248072 11647666 13218504 17471499 23295332 34942998 46590664 69885996 75709829 139771992 151419658 227129487 302839316 454258974 605678632 908517948 984227777 1817035896 1968455554 2952683331 3936911108 5905366662 7873822216 11810733324 23621466648