Search a number
-
+
26830862635392 = 2732174439293329
BaseRepresentation
bin1100001100111000011000…
…00010010101000110000000
310112000000010221122010012200
412012130030002111012000
512004044101313313032
6133021532250553200
75436315534302004
oct606341402250600
9115000127563180
1026830862635392
1186049a5529a22
123014001738800
1311c81a75c881a
1468a89920c704
15317deb83547c
hex18670c095180

26830862635392 has 384 divisors, whose sum is σ = 82047658212000. Its totient is φ = 8386963832832.

The previous prime is 26830862635319. The next prime is 26830862635457. The reversal of 26830862635392 is 29353626803862.

26830862635392 is a `hidden beast` number, since 2 + 6 + 8 + 30 + 8 + 6 + 2 + 63 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8059734784 + ... + 8059738112.

Almost surely, 226830862635392 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 26830862635392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41023829106000).

26830862635392 is an abundant number, since it is smaller than the sum of its proper divisors (55216795576608).

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

26830862635392 is a wasteful number, since it uses less digits than its factorization.

26830862635392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 26830862635392 in words is "twenty-six trillion, eight hundred thirty billion, eight hundred sixty-two million, six hundred thirty-five thousand, three hundred ninety-two".