Search a number
-
+
26452123040 = 255792925423
BaseRepresentation
bin11000101000101010…
…110101110110100000
32112021111100002010202
4120220222311312200
5413133220414130
620052452444332
71624336223150
oct305052656640
975244302122
1026452123040
1110244596612
1251629196a8
132657334815
1413cd186760
15a4c411145
hex628ab5da0

26452123040 has 96 divisors (see below), whose sum is σ = 71500423680. Its totient is φ = 9059180544.

The previous prime is 26452123039. The next prime is 26452123043. The reversal of 26452123040 is 4032125462.

It is a junction number, because it is equal to n+sod(n) for n = 26452122994 and 26452123012.

It is not an unprimeable number, because it can be changed into a prime (26452123043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027769 + ... + 1053191.

It is an arithmetic number, because the mean of its divisors is an integer number (744796080).

Almost surely, 226452123040 is an apocalyptic number.

26452123040 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 26452123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35750211840).

26452123040 is an abundant number, since it is smaller than the sum of its proper divisors (45048300640).

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

26452123040 is a wasteful number, since it uses less digits than its factorization.

26452123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26374 (or 26366 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 26452123040 in words is "twenty-six billion, four hundred fifty-two million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 929 1120 1858 3716 4645 6503 7432 9290 13006 14864 18580 25423 26012 29728 32515 37160 50846 52024 65030 74320 101692 104048 127115 130060 148640 177961 203384 208096 254230 260120 355922 406768 508460 520240 711844 813536 889805 1016920 1040480 1423688 1779610 2033840 2847376 3559220 4067680 5694752 7118440 14236880 23617967 28473760 47235934 94471868 118089835 165325769 188943736 236179670 330651538 377887472 472359340 661303076 755774944 826628845 944718680 1322606152 1653257690 1889437360 2645212304 3306515380 3778874720 5290424608 6613030760 13226061520 26452123040