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86302220368 = 24713574310321
BaseRepresentation
bin101000001100000000…
…0110110000001010000
322020202112212001002011
41100120000312001100
52403221332022433
6103351404032304
76143435524630
oct1203000660120
9266675761064
1086302220368
1133667398571
1214886532694
1381a49c81b0
144269b786c0
1523a19033cd
hex1418036050

86302220368 has 80 divisors (see below), whose sum is σ = 205853380096. Its totient is φ = 34132285440.

The previous prime is 86302220359. The next prime is 86302220371.

It is a happy number.

86302220368 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 86302220368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8356648 + ... + 8366968.

Almost surely, 286302220368 is an apocalyptic number.

It is an amenable number.

86302220368 is an abundant number, since it is smaller than the sum of its proper divisors (119551159728).

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

86302220368 is a wasteful number, since it uses less digits than its factorization.

86302220368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16092 (or 16086 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 86302220368 in words is "eighty-six billion, three hundred two million, two hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 5743 10321 11486 20642 22972 40201 41284 45944 72247 74659 80402 82568 91888 134173 144494 149318 160804 165136 268346 288988 298636 321608 522613 536692 577976 597272 643216 939211 1045226 1073384 1155952 1194544 1878422 2090452 2146768 3756844 4180904 7513688 8361808 15027376 59273503 118547006 237094012 414914521 474188024 770555539 829829042 948376048 1541111078 1659658084 3082222156 3319316168 5393888773 6164444312 6638632336 10787777546 12328888624 21575555092 43151110184 86302220368