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829639161988 = 2271319264745319
BaseRepresentation
bin11000001001010100101…
…10001111100010000100
32221022102222110011122221
430010222112033202010
5102043100111140423
61433044142302124
7113640142344010
oct14045226174204
92838388404587
10829639161988
1129a93675089a
12114958587944
1360308662450
142c2248c1540
15168aa3e0e5d
hexc12a58f884

829639161988 has 96 divisors (see below), whose sum is σ = 1881715404800. Its totient is φ = 310810421376.

The previous prime is 829639161913. The next prime is 829639161997. The reversal of 829639161988 is 889161936928.

It is a super-2 number, since 2×8296391619882 (a number of 25 digits) contains 22 as substring.

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, 18283993 + ... + 18329311.

Almost surely, 2829639161988 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 829639161988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940857702400).

829639161988 is an abundant number, since it is smaller than the sum of its proper divisors (1052076242812).

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

829639161988 is a wasteful number, since it uses less digits than its factorization.

829639161988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48009 (or 48007 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 70.

The spelling of 829639161988 in words is "eight hundred twenty-nine billion, six hundred thirty-nine million, one hundred sixty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1729 2647 3458 5294 6916 10588 18529 34411 37058 45319 50293 68822 74116 90638 100586 137644 181276 201172 240877 317233 352051 481754 589147 634466 653809 704102 861061 963508 1178294 1268932 1307618 1408204 1722122 2356588 2615236 3444244 4124029 4576663 6027427 8248058 9153326 11193793 12054854 16496116 18306652 22387586 24109708 44775172 78356551 119959393 156713102 239918786 313426204 479837572 839715751 1559472109 1679431502 2279228467 3118944218 3358863004 4558456934 6237888436 9116913868 10916304763 15954599269 21832609526 29629970071 31909198538 43665219052 59259940142 63818397076 118519880284 207409790497 414819580994 829639161988