Search a number
-
+
5797374751872 = 27321124147113191
BaseRepresentation
bin101010001011100111001…
…1101100111010010000000
3202112020001000101102222200
41110113032131213102000
51224441010414024442
620155135512433200
71135563231215424
oct124271635472200
922466030342880
105797374751872
11193571aa01500
127976a10a8800
133308c819a882
141608471b6b84
15a0c0a2e734c
hex545ce767480

5797374751872 has 1152 divisors, whose sum is σ = 19455024476160. Its totient is φ = 1653915648000.

The previous prime is 5797374751867. The next prime is 5797374751897. The reversal of 5797374751872 is 2781574737975.

5797374751872 is a `hidden beast` number, since 5 + 7 + 9 + 7 + 37 + 4 + 7 + 518 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5797374751872.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30352747297 + ... + 30352747487.

It is an arithmetic number, because the mean of its divisors is an integer number (16888042080).

Almost surely, 25797374751872 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 5797374751872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9727512238080).

5797374751872 is an abundant number, since it is smaller than the sum of its proper divisors (13657649724288).

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

5797374751872 is a wasteful number, since it uses less digits than its factorization.

5797374751872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 408 counting only the distinct ones).

The product of its digits is 726062400, while the sum is 72.

The spelling of 5797374751872 in words is "five trillion, seven hundred ninety-seven billion, three hundred seventy-four million, seven hundred fifty-one thousand, eight hundred seventy-two".