Search a number
-
+
26345407500 = 2232542350909
BaseRepresentation
bin11000100010010011…
…110000010000001100
32112000001112100221100
4120202103300100030
5412423411020000
620034121303100
71621602161136
oct304223602014
975001470840
1026345407500
111019a328655
125133034a90
13263b1ac429
1413bcd28056
15a42d81a00
hex6224f040c

26345407500 has 180 divisors, whose sum is σ = 86837390640. Its totient is φ = 6719856000.

The previous prime is 26345407499. The next prime is 26345407513. The reversal of 26345407500 is 570454362.

26345407500 is a `hidden beast` number, since 2 + 63 + 4 + 540 + 7 + 50 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 492046 + ... + 542954.

It is an arithmetic number, because the mean of its divisors is an integer number (482429948).

Almost surely, 226345407500 is an apocalyptic number.

26345407500 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 26345407500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43418695320).

26345407500 is an abundant number, since it is smaller than the sum of its proper divisors (60491983140).

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

26345407500 is a wasteful number, since it uses less digits than its factorization.

26345407500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50962 (or 50942 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 26345407500 in words is "twenty-six billion, three hundred forty-five million, four hundred seven thousand, five hundred".