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86999200002 = 232111385739439
BaseRepresentation
bin101000100000110001…
…1100111000100000010
322022120010100021101200
41101001203213010002
52411133243400002
6103544502442030
76166630666341
oct1210143470402
9268503307350
1086999200002
11339948646a0
1214a3ba33316
13828621a890
1442d4567b58
1523e2bcab1c
hex14418e7102

86999200002 has 96 divisors (see below), whose sum is σ = 221716535040. Its totient is φ = 24306428160.

The previous prime is 86999199961. The next prime is 86999200007. The reversal of 86999200002 is 20000299968.

It is not an unprimeable number, because it can be changed into a prime (86999200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2186199 + ... + 2225637.

It is an arithmetic number, because the mean of its divisors is an integer number (2309547240).

Almost surely, 286999200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86999200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110858267520).

86999200002 is an abundant number, since it is smaller than the sum of its proper divisors (134717335038).

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

86999200002 is a wasteful number, since it uses less digits than its factorization.

86999200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40328 (or 40325 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 86999200002 in words is "eighty-six billion, nine hundred ninety-nine million, two hundred thousand, two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 857 858 1287 1714 2571 2574 5142 7713 9427 11141 15426 18854 22282 28281 33423 39439 56562 66846 78878 84843 100269 118317 122551 169686 200538 236634 245102 354951 367653 433829 512707 709902 735306 867658 1025414 1102959 1301487 1538121 2205918 2602974 3076242 3904461 4614363 5639777 7808922 9228726 11279554 16919331 33799223 33838662 50757993 67598446 101397669 101515986 202795338 304193007 371791453 439389899 608386014 743582906 878779798 1115374359 1318169697 2230748718 2636339394 3346123077 3954509091 4833288889 6692246154 7909018182 9666577778 14499866667 28999733334 43499600001 86999200002