Search a number
-
+
26427461364 = 22324767723071
BaseRepresentation
bin11000100111001100…
…110000111011110100
32112012202221010200100
4120213030300323310
5413110412230424
620050212114100
71623616500213
oct304714607364
975182833610
1026427461364
1110231681967
125156605930
1326521ab605
1413c9ba707a
15a4a18ddc9
hex627330ef4

26427461364 has 72 divisors (see below), whose sum is σ = 68327820288. Its totient is φ = 8608616640.

The previous prime is 26427461353. The next prime is 26427461383. The reversal of 26427461364 is 46316472462.

26427461364 is a `hidden beast` number, since 2 + 6 + 4 + 27 + 4 + 613 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1133949 + ... + 1157019.

It is an arithmetic number, because the mean of its divisors is an integer number (948997504).

Almost surely, 226427461364 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 26427461364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34163910144).

26427461364 is an abundant number, since it is smaller than the sum of its proper divisors (41900358924).

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

26427461364 is a wasteful number, since it uses less digits than its factorization.

26427461364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23805 (or 23800 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 26427461364 in words is "twenty-six billion, four hundred twenty-seven million, four hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 677 846 1354 1692 2031 2708 4062 6093 8124 12186 23071 24372 31819 46142 63638 69213 92284 95457 127276 138426 190914 207639 276852 286371 381828 415278 572742 830556 1084337 1145484 2168674 3253011 4337348 6506022 9759033 13012044 15619067 19518066 31238134 39036132 46857201 62476268 93714402 140571603 187428804 281143206 562286412 734096149 1468192298 2202288447 2936384596 4404576894 6606865341 8809153788 13213730682 26427461364