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86222430481464 = 23324129208140407
BaseRepresentation
bin10011100110101100111001…
…010101110010110000111000
3102022021210011102120210001100
4103212230321111302300320
542300132014200401324
6503214012052451400
724106236130411314
oct2346547125626070
9368253142523040
1086222430481464
1125522800213482
129806599619b60
1339159815b7904
14174128b862b44
159e7c9b1594c9
hex4e6b39572c38

86222430481464 has 48 divisors (see below), whose sum is σ = 239214669941520. Its totient is φ = 28039814789760.

The previous prime is 86222430481433. The next prime is 86222430481469. The reversal of 86222430481464 is 46418403422268.

86222430481464 is a `hidden beast` number, since 8 + 6 + 2 + 22 + 430 + 48 + 146 + 4 = 666.

86222430481464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86222430481464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86222430481469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14604067252 + ... + 14604073155.

It is an arithmetic number, because the mean of its divisors is an integer number (4983638957115).

Almost surely, 286222430481464 is an apocalyptic number.

It is an amenable number.

86222430481464 is an abundant number, since it is smaller than the sum of its proper divisors (152992239460056).

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

86222430481464 is a wasteful number, since it uses less digits than its factorization.

86222430481464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29208140460 (or 29208140453 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 86222430481464 in words is "eighty-six trillion, two hundred twenty-two billion, four hundred thirty million, four hundred eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 29208140407 58416280814 87624421221 116832561628 175248842442 233665123256 262873263663 350497684884 525746527326 700995369768 1051493054652 1197533756687 2102986109304 2395067513374 3592601270061 4790135026748 7185202540122 9580270053496 10777803810183 14370405080244 21555607620366 28740810160488 43111215240732 86222430481464