Search a number
-
+
23116970897280 = 27325131061290971
BaseRepresentation
bin1010100000110010101101…
…10101101010111110000000
310000211221221110010000211200
411100121112311222332000
511012222024022203110
6121055442333541200
74604101042345101
oct520312665527600
9100757843100750
1023116970897280
117402941460157
122714282944800
13cb8bc8597010
1459cc2007a3a8
152a14d368d6c0
hex150656d6af80

23116970897280 has 384 divisors, whose sum is σ = 86047555033440. Its totient is φ = 5684948582400.

The previous prime is 23116970897263. The next prime is 23116970897287. The reversal of 23116970897280 is 8279807961132.

23116970897280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×231169708972802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23116970897287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79302195 + ... + 79593165.

Almost surely, 223116970897280 is an apocalyptic number.

23116970897280 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 23116970897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43023777516720).

23116970897280 is an abundant number, since it is smaller than the sum of its proper divisors (62930584136160).

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

23116970897280 is a wasteful number, since it uses less digits than its factorization.

23116970897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292070 (or 292055 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 23116970897280 in words is "twenty-three trillion, one hundred sixteen billion, nine hundred seventy million, eight hundred ninety-seven thousand, two hundred eighty".