Search a number
-
+
5074097906592 = 2535111343167
BaseRepresentation
bin100100111010110011111…
…0011011010001110100000
3122222002010121101210100000
41021311213303122032200
51131113223031002332
614443001451500000
71032406606401261
oct111654763321640
918862117353300
105074097906592
111686a04a944a0
1269b489157600
132aa6404c0000
1413783271a968
158bec7996b7c
hex49d67cda3a0

5074097906592 has 1440 divisors, whose sum is σ = 18527482681344. Its totient is φ = 1353042662400.

The previous prime is 5074097906587. The next prime is 5074097906611. The reversal of 5074097906592 is 2956097904705.

5074097906592 is a `hidden beast` number, since 50 + 7 + 409 + 7 + 90 + 6 + 5 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 75732804543 + ... + 75732804609.

Almost surely, 25074097906592 is an apocalyptic number.

5074097906592 is a gapful number since it is divisible by the number (52) 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 5074097906592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9263741340672).

5074097906592 is an abundant number, since it is smaller than the sum of its proper divisors (13453384774752).

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

5074097906592 is an equidigital number, since it uses as much as digits as its factorization.

5074097906592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 5074097906592 in words is "five trillion, seventy-four billion, ninety-seven million, nine hundred six thousand, five hundred ninety-two".