Search a number
-
+
5797511120808 = 233611231283103
BaseRepresentation
bin101010001011101011010…
…0101110100011110101000
3202112020101111222201000000
41110113112211310132220
51224441300321331213
620155201223343000
71135566505303461
oct124272645643650
922466344881000
105797511120808
11193578a983500
1279771a8b1a60
1333091a506254
1416085b353d68
15a0c17282c73
hex545d69747a8

5797511120808 has 1008 divisors, whose sum is σ = 18915809683680. Its totient is φ = 1663358716800.

The previous prime is 5797511120803. The next prime is 5797511120813. The reversal of 5797511120808 is 8080211157975.

5797511120808 is a `hidden beast` number, since 579 + 7 + 51 + 1 + 12 + 0 + 8 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5797511120803) and next prime (5797511120813).

It is a super-2 number, since 2×57975111208082 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5797511120803) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 56286515685 + ... + 56286515787.

It is an arithmetic number, because the mean of its divisors is an integer number (18765684210).

Almost surely, 25797511120808 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 5797511120808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9457904841840).

5797511120808 is an abundant number, since it is smaller than the sum of its proper divisors (13118298562872).

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

5797511120808 is a wasteful number, since it uses less digits than its factorization.

5797511120808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 54.

The spelling of 5797511120808 in words is "five trillion, seven hundred ninety-seven billion, five hundred eleven million, one hundred twenty thousand, eight hundred eight".