Search a number
-
+
6411129272304 = 243177856776069
BaseRepresentation
bin101110101001011010100…
…0101010011011111110000
3211200220020121210112101120
41131102311011103133300
51320014443043203204
621345122050102240
71231121521445211
oct135226505233760
924626217715346
106411129272304
112051a43377859
1287662a27a980
1337674a617c63
1418242c0b3408
15b1b7c9586d9
hex5d4b51537f0

6411129272304 has 40 divisors (see below), whose sum is σ = 17536324188240. Its totient is φ = 2011334673408.

The previous prime is 6411129272257. The next prime is 6411129272351. The reversal of 6411129272304 is 4032729211146.

It is an interprime number because it is at equal distance from previous prime (6411129272257) and next prime (6411129272351).

It is a super-2 number, since 2×64111292723042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3928387219 + ... + 3928388850.

It is an arithmetic number, because the mean of its divisors is an integer number (438408104706).

Almost surely, 26411129272304 is an apocalyptic number.

It is an amenable number.

6411129272304 is an abundant number, since it is smaller than the sum of its proper divisors (11125194915936).

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

6411129272304 is a wasteful number, since it uses less digits than its factorization.

6411129272304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7856776097 (or 7856776091 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 6411129272304 in words is "six trillion, four hundred eleven billion, one hundred twenty-nine million, two hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 7856776069 15713552138 23570328207 31427104276 47140656414 62854208552 94281312828 125708417104 133565193173 188562625656 267130386346 377125251312 400695579519 534260772692 801391159038 1068521545384 1602782318076 2137043090768 3205564636152 6411129272304