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86286304632 = 2331125711031153
BaseRepresentation
bin101000001011100010…
…0001000010101111000
322020201102220102210110
41100113010020111320
52403203243222012
6103350034544320
76143153326233
oct1202704102570
9266642812713
1086286304632
1133659407870
12148811380a0
1381a1614ab8
1442679d441a
1523a030c73c
hex1417108578

86286304632 has 128 divisors (see below), whose sum is σ = 236661212160. Its totient is φ = 25999441920.

The previous prime is 86286304627. The next prime is 86286304703. The reversal of 86286304632 is 23640368268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74835768 + ... + 74836920.

It is an arithmetic number, because the mean of its divisors is an integer number (1848915720).

Almost surely, 286286304632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86286304632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118330606080).

86286304632 is an abundant number, since it is smaller than the sum of its proper divisors (150374907528).

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

86286304632 is a wasteful number, since it uses less digits than its factorization.

86286304632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 86286304632 in words is "eighty-six billion, two hundred eighty-six million, three hundred four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 257 264 514 771 1028 1103 1153 1542 2056 2206 2306 2827 3084 3309 3459 4412 4612 5654 6168 6618 6918 8481 8824 9224 11308 12133 12683 13236 13836 16962 22616 24266 25366 26472 27672 33924 36399 38049 48532 50732 67848 72798 76098 97064 101464 145596 152196 283471 291192 296321 304392 566942 592642 850413 888963 1133884 1185284 1271759 1700826 1777926 2267768 2370568 2543518 3118181 3259531 3401652 3555852 3815277 5087036 6236362 6519062 6803304 7111704 7630554 9354543 9778593 10174072 12472724 13038124 13989349 15261108 18709086 19557186 24945448 26076248 27978698 30522216 37418172 39114372 41968047 55957396 74836344 78228744 83936094 111914792 167872188 326842063 335744376 653684126 980526189 1307368252 1961052378 2614736504 3595262693 3922104756 7190525386 7844209512 10785788079 14381050772 21571576158 28762101544 43143152316 86286304632