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86466280032 = 2533119097883
BaseRepresentation
bin101000010000111001…
…0101011101001100000
322021011222120010122000
41100201302223221200
52404040331430112
6103415544244000
76150500152656
oct1204162535140
9267158503560
1086466280032
1133740a62a70
1214911470600
1381cc9aa712
144283882dd6
1523b100d7dc
hex1421caba60

86466280032 has 96 divisors (see below), whose sum is σ = 275120012160. Its totient is φ = 26201900160.

The previous prime is 86466280013. The next prime is 86466280079. The reversal of 86466280032 is 23008266468.

86466280032 is a `hidden beast` number, since 86 + 466 + 2 + 80 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 86466280032.

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, 4539438 + ... + 4558445.

It is an arithmetic number, because the mean of its divisors is an integer number (2865833460).

Almost surely, 286466280032 is an apocalyptic number.

It is an amenable number.

86466280032 is an abundant number, since it is smaller than the sum of its proper divisors (188653732128).

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

86466280032 is a wasteful number, since it uses less digits than its factorization.

86466280032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097913 (or 9097899 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 86466280032 in words is "eighty-six billion, four hundred sixty-six million, two hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 9097883 18195766 27293649 36391532 54587298 72783064 81880947 100076713 109174596 145566128 163761894 200153426 218349192 245642841 291132256 300230139 327523788 400306852 436698384 491285682 600460278 655047576 800613704 873396768 900690417 982571364 1200920556 1310095152 1601227408 1801380834 1965142728 2401841112 2620190304 2702071251 3202454816 3602761668 3930285456 4803682224 5404142502 7205523336 7860570912 9607364448 10808285004 14411046672 21616570008 28822093344 43233140016 86466280032