Search a number
-
+
26375941440 = 2633513722283
BaseRepresentation
bin11000100100001000…
…001110110101000000
32112002011222122122000
4120210020032311000
5413004220111230
620041131544000
71622422542312
oct304410166500
975064878560
1026375941440
1110205593212
1251412bb000
132644610454
1413c2dd57b2
15a458b3b60
hex62420ed40

26375941440 has 224 divisors, whose sum is σ = 93731852160. Its totient is φ = 6981931008.

The previous prime is 26375941433. The next prime is 26375941453. The reversal of 26375941440 is 4414957362.

26375941440 is a `hidden beast` number, since 2 + 6 + 3 + 7 + 594 + 14 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172539 + ... + 1194821.

Almost surely, 226375941440 is an apocalyptic number.

26375941440 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 26375941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46865926080).

26375941440 is an abundant number, since it is smaller than the sum of its proper divisors (67355910720).

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

26375941440 is a wasteful number, since it uses less digits than its factorization.

26375941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22446 (or 22430 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 26375941440 in words is "twenty-six billion, three hundred seventy-five million, nine hundred forty-one thousand, four hundred forty".