Search a number
-
+
26054146404 = 223211213538681
BaseRepresentation
bin11000010000111100…
…101011100101100100
32111020202110202211100
4120100330223211210
5411324330141104
615545154440100
71611434406336
oct302074534544
974222422740
1026054146404
111005a982900
125071593030
1325c2a511a0
14139238b456
15a274ec139
hex610f2b964

26054146404 has 216 divisors, whose sum is σ = 79439153976. Its totient is φ = 7149542400.

The previous prime is 26054146369. The next prime is 26054146411. The reversal of 26054146404 is 40464145062.

26054146404 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 4 + 1 + 4 + 640 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5730792804 + 20323353600 = 75702^2 + 142560^2 .

It is a super-2 number, since 2×260541464042 (a number of 22 digits) contains 22 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 71 ways as a sum of consecutive naturals, for example, 2996944 + ... + 3005624.

It is an arithmetic number, because the mean of its divisors is an integer number (367773861).

Almost surely, 226054146404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26054146404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39719576988).

26054146404 is an abundant number, since it is smaller than the sum of its proper divisors (53385007572).

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

26054146404 is a wasteful number, since it uses less digits than its factorization.

26054146404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8779 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 26054146404 in words is "twenty-six billion, fifty-four million, one hundred forty-six thousand, four hundred four".