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291431428368 = 24343913830269
BaseRepresentation
bin1000011110110101010…
…10101011000100010000
31000212020100122111012020
410033122222223010100
514233322421201433
6341514242531440
730024641161053
oct4173252530420
91025210574166
10291431428368
11102660497643
1248593966b80
1321635875092
1410169152a9a
1578aa302cb3
hex43daaab110

291431428368 has 40 divisors (see below), whose sum is σ = 754579531200. Its totient is φ = 96922518144.

The previous prime is 291431428333. The next prime is 291431428369. The reversal of 291431428368 is 863824134192.

It is a super-2 number, since 2×2914314283682 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 291431428368.

It is not an unprimeable number, because it can be changed into a prime (291431428369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6894063 + ... + 6936206.

It is an arithmetic number, because the mean of its divisors is an integer number (18864488280).

Almost surely, 2291431428368 is an apocalyptic number.

It is an amenable number.

291431428368 is an abundant number, since it is smaller than the sum of its proper divisors (463148102832).

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

291431428368 is a wasteful number, since it uses less digits than its factorization.

291431428368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830719 (or 13830713 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The spelling of 291431428368 in words is "two hundred ninety-one billion, four hundred thirty-one million, four hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 439 878 1317 1756 2634 3512 5268 7024 10536 21072 13830269 27660538 41490807 55321076 82981614 110642152 165963228 221284304 331926456 663852912 6071488091 12142976182 18214464273 24285952364 36428928546 48571904728 72857857092 97143809456 145715714184 291431428368