Search a number
-
+
26483096640 = 263572111331127
BaseRepresentation
bin11000101010100000…
…111111110001000000
32112100122121200221010
4120222200333301000
5413214133043030
620055520400520
71625163415200
oct305240776100
975318550833
1026483096640
1110260021530
125171176140
13266088a9b0
1413d332a400
15a4eecd6b0
hex62a83fc40

26483096640 has 1344 divisors, whose sum is σ = 119552606208. Its totient is φ = 4877107200.

The previous prime is 26483096623. The next prime is 26483096659. The reversal of 26483096640 is 4669038462.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26483096640.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 208528257 + ... + 208528383.

It is an arithmetic number, because the mean of its divisors is an integer number (88952832).

Almost surely, 226483096640 is an apocalyptic number.

26483096640 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 26483096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59776303104).

26483096640 is an abundant number, since it is smaller than the sum of its proper divisors (93069509568).

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

26483096640 is a wasteful number, since it uses less digits than its factorization.

26483096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 26483096640 in words is "twenty-six billion, four hundred eighty-three million, ninety-six thousand, six hundred forty".