Search a number
-
+
26991824460 = 223517197319079
BaseRepresentation
bin11001001000110101…
…101000111001001100
32120200002212202022020
4121020311220321030
5420234401340320
620222212250140
71643611502526
oct311065507114
976602782266
1026991824460
11104a11aa247
125293610950
1327120aa583
141440b14a16
15a7e9bc940
hex648d68e4c

26991824460 has 192 divisors, whose sum is σ = 85392921600. Its totient is φ = 6329622528.

The previous prime is 26991824449. The next prime is 26991824467. The reversal of 26991824460 is 6442819962.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (26991824467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1405201 + ... + 1424279.

It is an arithmetic number, because the mean of its divisors is an integer number (444754800).

Almost surely, 226991824460 is an apocalyptic number.

26991824460 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 26991824460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42696460800).

26991824460 is an abundant number, since it is smaller than the sum of its proper divisors (58401097140).

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

26991824460 is a wasteful number, since it uses less digits than its factorization.

26991824460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19200 (or 19198 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 26991824460 in words is "twenty-six billion, nine hundred ninety-one million, eight hundred twenty-four thousand, four hundred sixty".