Search a number
-
+
26445021700 = 22522960115173
BaseRepresentation
bin11000101000001111…
…110000001000000100
32112020222222021221011
4120220033300020010
5413124411143300
620052040332004
71624221655426
oct305017601004
975228867834
1026445021700
1110240586239
125160474004
132655a19446
1413cc258816
15a4b9abeba
hex6283f0204

26445021700 has 72 divisors (see below), whose sum is σ = 59467209480. Its totient is φ = 10195584000.

The previous prime is 26445021661. The next prime is 26445021703. The reversal of 26445021700 is 712054462.

It can be written as a sum of positive squares in 12 ways, for example, as 172501956 + 26272519744 = 13134^2 + 162088^2 .

It is not an unprimeable number, because it can be changed into a prime (26445021703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735314 + ... + 1750486.

It is an arithmetic number, because the mean of its divisors is an integer number (825933465).

Almost surely, 226445021700 is an apocalyptic number.

26445021700 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 26445021700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29733604740).

26445021700 is an abundant number, since it is smaller than the sum of its proper divisors (33022187780).

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

26445021700 is a wasteful number, since it uses less digits than its factorization.

26445021700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15817 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 26445021700 in words is "twenty-six billion, four hundred forty-five million, twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 601 725 1202 1450 2404 2900 3005 6010 12020 15025 15173 17429 30050 30346 34858 60100 60692 69716 75865 87145 151730 174290 303460 348580 379325 435725 440017 758650 871450 880034 1517300 1742900 1760068 2200085 4400170 8800340 9118973 11000425 18237946 22000850 36475892 44001700 45594865 91189730 182379460 227974325 264450217 455948650 528900434 911897300 1057800868 1322251085 2644502170 5289004340 6611255425 13222510850 26445021700