Base | Representation |
---|---|
bin | 1010110000011011100110… |
… | …11011000110000000000000 |
3 | 10002202022221022211221001000 |
4 | 11120031303123012000000 |
5 | 11100023022233201001 |
6 | 122150351211412000 |
7 | 4660653064164210 |
oct | 530156333060000 |
9 | 102668838757030 |
10 | 23654321381376 |
11 | 759a817831124 |
12 | 27a0448454000 |
13 | 10277928a844a |
14 | 5bac37a1a240 |
15 | 2b0483396a86 |
hex | 1583736c6000 |
23654321381376 has 1792 divisors, whose sum is σ = 86750359879680. Its totient is φ = 6224648601600.
The previous prime is 23654321381357. The next prime is 23654321381377. The reversal of 23654321381376 is 67318312345632.
23654321381376 is a `hidden beast` number, since 2 + 3 + 6 + 5 + 432 + 138 + 1 + 3 + 76 = 666.
It is a tau number, because it is divible by the number of its divisors (1792).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23654321381377) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156651134901 + ... + 156651135051.
It is an arithmetic number, because the mean of its divisors is an integer number (48409799040).
Almost surely, 223654321381376 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 23654321381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43375179939840).
23654321381376 is an abundant number, since it is smaller than the sum of its proper divisors (63096038498304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23654321381376 is a wasteful number, since it uses less digits than its factorization.
23654321381376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 352 (or 322 counting only the distinct ones).
The product of its digits is 13063680, while the sum is 54.
The spelling of 23654321381376 in words is "twenty-three trillion, six hundred fifty-four billion, three hundred twenty-one million, three hundred eighty-one thousand, three hundred seventy-six".
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