Search a number
-
+
5801435001208 = 23711171316076967
BaseRepresentation
bin101010001101100000001…
…1110001111000101111000
3202112121111222110110222201
41110123000132033011320
51230022314330014313
620201050433555544
71136065652605150
oct124330036170570
922477458413881
105801435001208
1119374138a6970
12798434a15bb4
133310c4425882
14160b10531760
15a0d969be0dd
hex546c078f178

5801435001208 has 256 divisors, whose sum is σ = 14495081103360. Its totient is φ = 2107320883200.

The previous prime is 5801435001139. The next prime is 5801435001211. The reversal of 5801435001208 is 8021005341085.

It is a super-2 number, since 2×58014350012082 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 832698541 + ... + 832705507.

It is an arithmetic number, because the mean of its divisors is an integer number (56621410560).

Almost surely, 25801435001208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5801435001208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247540551680).

5801435001208 is an abundant number, since it is smaller than the sum of its proper divisors (8693646102152).

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

5801435001208 is a wasteful number, since it uses less digits than its factorization.

5801435001208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 5801435001208 in words is "five trillion, eight hundred one billion, four hundred thirty-five million, one thousand, two hundred eight".