Search a number
-
+
26530103664 = 2434231575669
BaseRepresentation
bin11000101101010100…
…010100000101110000
32112110221001220110000
4120231110110011300
5413313201304124
620104320110000
71626304106001
oct305524240560
975427056400
1026530103664
1110284608609
125184a65300
13266a5389bc
1413d96851a8
15a541b66c9
hex62d514170

26530103664 has 200 divisors, whose sum is σ = 80648900640. Its totient is φ = 8403512832.

The previous prime is 26530103647. The next prime is 26530103683. The reversal of 26530103664 is 46630103562.

26530103664 is a `hidden beast` number, since 26 + 530 + 10 + 36 + 64 = 666.

It is a super-3 number, since 3×265301036643 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4677022 + ... + 4682690.

Almost surely, 226530103664 is an apocalyptic number.

26530103664 is a gapful number since it is divisible by the number (24) 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 26530103664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40324450320).

26530103664 is an abundant number, since it is smaller than the sum of its proper divisors (54118796976).

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

26530103664 is a wasteful number, since it uses less digits than its factorization.

26530103664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 26530103664 in words is "twenty-six billion, five hundred thirty million, one hundred three thousand, six hundred sixty-four".