Search a number
-
+
23008665600000 = 21634551973
BaseRepresentation
bin1010011101101000111110…
…10101110000000000000000
310000110121101110120212120000
411032310133111300000000
511003433221343200000
6120534011323320000
74563215116454643
oct516643725600000
9100417343525500
1023008665600000
117370a13995303
1226b7297680000
13cab9282104b2
145978a7d9da5a
1529d795250000
hex14ed1f570000

23008665600000 has 2040 divisors, whose sum is σ = 91682392420080. Its totient is φ = 5733089280000.

The previous prime is 23008665599963. The next prime is 23008665600061. The reversal of 23008665600000 is 656680032.

23008665600000 is a `hidden beast` number, since 2 + 30 + 0 + 8 + 66 + 560 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 315187199964 + ... + 315187200036.

Almost surely, 223008665600000 is an apocalyptic number.

23008665600000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23008665600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45841196210040).

23008665600000 is an abundant number, since it is smaller than the sum of its proper divisors (68673726820080).

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

23008665600000 is an frugal number, since it uses more digits than its factorization.

23008665600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23008665600000 in words is "twenty-three trillion, eight billion, six hundred sixty-five million, six hundred thousand".