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82876907136 = 2732913754323
BaseRepresentation
bin100110100101111011…
…0010011111010000000
321220220211112002200010
41031023312103322000
52324212442012021
6102023443424520
75662524041652
oct1151366237200
9256824462603
1082876907136
1132169942a91
121408b385140
137a7a17b72a
144022c9c6d2
152250d4a976
hex134bd93e80

82876907136 has 128 divisors (see below), whose sum is σ = 229399387200. Its totient is φ = 26477846528.

The previous prime is 82876907117. The next prime is 82876907143. The reversal of 82876907136 is 63170967828.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1498471 + ... + 1552793.

Almost surely, 282876907136 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 82876907136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114699693600).

82876907136 is an abundant number, since it is smaller than the sum of its proper divisors (146522480064).

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

82876907136 is a wasteful number, since it uses less digits than its factorization.

82876907136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54506 (or 54494 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 82876907136 in words is "eighty-two billion, eight hundred seventy-six million, nine hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 137 174 192 232 274 348 384 411 464 548 696 822 928 1096 1392 1644 1856 2192 2784 3288 3712 3973 4384 5568 6576 7946 8768 11136 11919 13152 15892 17536 23838 26304 31784 47676 52608 54323 63568 95352 108646 127136 162969 190704 217292 254272 325938 381408 434584 508544 651876 762816 869168 1303752 1525632 1575367 1738336 2607504 3150734 3476672 4726101 5215008 6301468 6953344 7442251 9452202 10430016 12602936 14884502 18904404 20860032 22326753 25205872 29769004 37808808 44653506 50411744 59538008 75617616 89307012 100823488 119076016 151235232 178614024 201646976 215825279 238152032 302470464 357228048 431650558 476304064 604940928 647475837 714456096 863301116 952608128 1294951674 1428912192 1726602232 2589903348 2857824384 3453204464 5179806696 6906408928 10359613392 13812817856 20719226784 27625635712 41438453568 82876907136