Search a number
-
+
5434792238720 = 2751323925110889
BaseRepresentation
bin100111100010110001011…
…0111000101111010000000
3201020120011000102100110002
41033011202313011322000
51203020423303114340
615320413055055132
71100436134545355
oct117054267057200
921216130370402
105434792238720
111805978596859
12739370b114a8
133056638823c0
1414b08c61262c
159658880b715
hex4f162dc5e80

5434792238720 has 256 divisors, whose sum is σ = 14107794624000. Its totient is φ = 1990152192000.

The previous prime is 5434792238671. The next prime is 5434792238737. The reversal of 5434792238720 is 278322974345.

It is a super-2 number, since 2×54347922387202 (a number of 26 digits) contains 22 as substring.

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, 499103036 + ... + 499113924.

It is an arithmetic number, because the mean of its divisors is an integer number (55108572750).

Almost surely, 25434792238720 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 5434792238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053897312000).

5434792238720 is an abundant number, since it is smaller than the sum of its proper divisors (8673002385280).

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

5434792238720 is a wasteful number, since it uses less digits than its factorization.

5434792238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11411 (or 11399 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 56.

The spelling of 5434792238720 in words is "five trillion, four hundred thirty-four billion, seven hundred ninety-two million, two hundred thirty-eight thousand, seven hundred twenty".