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6411429171216 = 243263170560719
BaseRepresentation
bin101110101001100011011…
…1101010101000000010000
3211200221000112002222100200
41131103012331111000100
51320021101331434331
621345211522015200
71231132122524106
oct135230675250020
924627015088320
106411429171216
1120520876922a3
128766b27a7500
133767977aba34
14182459c5bc76
15b1b98e475e6
hex5d4c6f55010

6411429171216 has 60 divisors (see below), whose sum is σ = 17971533141120. Its totient is φ = 2133756112320.

The previous prime is 6411429171211. The next prime is 6411429171253. The reversal of 6411429171216 is 6121719241146.

6411429171216 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 429 + 1 + 7 + 1 + 216 = 666.

It is a super-2 number, since 2×64114291712162 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6411429171211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35189496 + ... + 35371223.

It is an arithmetic number, because the mean of its divisors is an integer number (299525552352).

Almost surely, 26411429171216 is an apocalyptic number.

It is an amenable number.

6411429171216 is an abundant number, since it is smaller than the sum of its proper divisors (11560103969904).

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

6411429171216 is a wasteful number, since it uses less digits than its factorization.

6411429171216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70561364 (or 70561355 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 6411429171216 in words is "six trillion, four hundred eleven billion, four hundred twenty-nine million, one hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 631 1262 1893 2524 3786 5048 5679 7572 10096 11358 15144 22716 30288 45432 90864 70560719 141121438 211682157 282242876 423364314 564485752 635046471 846728628 1128971504 1270092942 1693457256 2540185884 3386914512 5080371768 10160743536 44523813689 89047627378 133571441067 178095254756 267142882134 356190509512 400714323201 534285764268 712381019024 801428646402 1068571528536 1602857292804 2137143057072 3205714585608 6411429171216