Search a number
-
+
23824380780 = 22325132357671
BaseRepresentation
bin10110001100000010…
…110011001101101100
32021111100202221102100
4112030002303031230
5342243020141110
614540023055100
71502250616044
oct261402631554
967440687370
1023824380780
11a1162729a2
12474a8a1490
132328aca445
1412201a2724
159468a0bc0
hex58c0b336c

23824380780 has 36 divisors (see below), whose sum is σ = 72267288912. Its totient is φ = 6353168160.

The previous prime is 23824380779. The next prime is 23824380799. The reversal of 23824380780 is 8708342832.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×238243807802 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66178656 + ... + 66179015.

It is an arithmetic number, because the mean of its divisors is an integer number (2007424692).

Almost surely, 223824380780 is an apocalyptic number.

23824380780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23824380780 is an abundant number, since it is smaller than the sum of its proper divisors (48442908132).

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

23824380780 is a wasteful number, since it uses less digits than its factorization.

23824380780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132357686 (or 132357681 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 23824380780 in words is "twenty-three billion, eight hundred twenty-four million, three hundred eighty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 132357671 264715342 397073013 529430684 661788355 794146026 1191219039 1323576710 1588292052 1985365065 2382438078 2647153420 3970730130 4764876156 5956095195 7941460260 11912190390 23824380780