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85843601712 = 2434116021577
BaseRepresentation
bin100111111110010101…
…1010110100100110000
322012120120212210120000
41033330223112210300
52401301430223322
6103234102150000
76126166401201
oct1177453264460
9265516783500
1085843601712
1133451525590
1214778a22300
1381309a15cb
144224cb55a8
1523765113ac
hex13fcad6930

85843601712 has 100 divisors (see below), whose sum is σ = 271043268936. Its totient is φ = 26013208320.

The previous prime is 85843601687. The next prime is 85843601741. The reversal of 85843601712 is 21710634858.

85843601712 is a `hidden beast` number, since 8 + 584 + 3 + 60 + 1 + 7 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2996533 + ... + 3025044.

Almost surely, 285843601712 is an apocalyptic number.

It is an amenable number.

85843601712 is an abundant number, since it is smaller than the sum of its proper divisors (185199667224).

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

85843601712 is a wasteful number, since it uses less digits than its factorization.

85843601712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021608 (or 6021593 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85843601712 in words is "eighty-five billion, eight hundred forty-three million, six hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 6021577 12043154 18064731 24086308 36129462 48172616 54194193 66237347 72258924 96345232 108388386 132474694 144517848 162582579 198712041 216776772 264949388 289035696 325165158 397424082 433553544 487747737 529898776 596136123 650330316 794848164 867107088 975495474 1059797552 1192272246 1300660632 1589696328 1788408369 1950990948 2384544492 2601321264 3179392656 3576816738 3901981896 4769088984 5365225107 7153633476 7803963792 9538177968 10730450214 14307266952 21460900428 28614533904 42921800856 85843601712