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26406704740 = 22513449226201
BaseRepresentation
bin11000100101111101…
…100101011001100100
32112011022212120221111
4120211331211121210
5413040104022430
620044151154404
71623245200243
oct304575453144
975138776844
1026406704740
1110220995129
12514b675a04
13264aac19a0
1413c712295a
15a4843dc2a
hex625f65664

26406704740 has 48 divisors (see below), whose sum is σ = 59853049200. Its totient is φ = 9728409600.

The previous prime is 26406704711. The next prime is 26406704761. The reversal of 26406704740 is 4740760462.

It can be written as a sum of positive squares in 8 ways, for example, as 457360996 + 25949343744 = 21386^2 + 161088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26406704693 and 26406704702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3640 + ... + 229840.

It is an arithmetic number, because the mean of its divisors is an integer number (1246938525).

Almost surely, 226406704740 is an apocalyptic number.

26406704740 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 26406704740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29926524600).

26406704740 is an abundant number, since it is smaller than the sum of its proper divisors (33446344460).

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

26406704740 is a wasteful number, since it uses less digits than its factorization.

26406704740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226672 (or 226670 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 26406704740 in words is "twenty-six billion, four hundred six million, seven hundred four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 449 898 1796 2245 4490 5837 8980 11674 23348 29185 58370 116740 226201 452402 904804 1131005 2262010 2940613 4524020 5881226 11762452 14703065 29406130 58812260 101564249 203128498 406256996 507821245 1015642490 1320335237 2031284980 2640670474 5281340948 6601676185 13203352370 26406704740