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86005829328 = 24335343111777
BaseRepresentation
bin101000000011001011…
…0001100111011010000
322012222220010211000020
41100012112030323100
52402114443014303
6103302135223440
76133206326046
oct1200626147320
9265886124006
1086005829328
11335250595a1
1214803217b80
138158491c93
14423c664396
1523858a8a53
hex140658ced0

86005829328 has 80 divisors (see below), whose sum is σ = 223347062016. Its totient is φ = 28518645760.

The previous prime is 86005829317. The next prime is 86005829333. The reversal of 86005829328 is 82392850068.

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, 7296976 + ... + 7308752.

Almost surely, 286005829328 is an apocalyptic number.

It is an amenable number.

86005829328 is an abundant number, since it is smaller than the sum of its proper divisors (137341232688).

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

86005829328 is a wasteful number, since it uses less digits than its factorization.

86005829328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12572 (or 12566 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 86005829328 in words is "eighty-six billion, five million, eight hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 353 431 706 862 1059 1293 1412 1724 2118 2586 2824 3448 4236 5172 5648 6896 8472 10344 11777 16944 20688 23554 35331 47108 70662 94216 141324 152143 188432 282648 304286 456429 565296 608572 912858 1217144 1825716 2434288 3651432 4157281 5075887 7302864 8314562 10151774 12471843 15227661 16629124 20303548 24943686 30455322 33258248 40607096 49887372 60910644 66516496 81214192 99774744 121821288 199549488 243642576 1791788111 3583576222 5375364333 7167152444 10750728666 14334304888 21501457332 28668609776 43002914664 86005829328