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86210034000 = 2435314368339
BaseRepresentation
bin101000001001010000…
…1001011100101010000
322020112010101111011020
41100102201023211100
52403024232042000
6103334312115440
76141236124666
oct1202241134520
9266463344136
1086210034000
113361a353592
121485b695b80
13818b88c04c
14425b81cc36
152398793ba0
hex141284b950

86210034000 has 80 divisors (see below), whose sum is σ = 277941168960. Its totient is φ = 22989340800.

The previous prime is 86210033957. The next prime is 86210034011. The reversal of 86210034000 is 43001268.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7178170 + ... + 7190169.

It is an arithmetic number, because the mean of its divisors is an integer number (3474264612).

Almost surely, 286210034000 is an apocalyptic number.

86210034000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86210034000 is an abundant number, since it is smaller than the sum of its proper divisors (191731134960).

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

86210034000 is a wasteful number, since it uses less digits than its factorization.

86210034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368365 (or 14368349 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 86210034000 its reverse (43001268), we get a palindrome (86253035268).

The spelling of 86210034000 in words is "eighty-six billion, two hundred ten million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 14368339 28736678 43105017 57473356 71841695 86210034 114946712 143683390 172420068 215525085 229893424 287366780 344840136 359208475 431050170 574733560 689680272 718416950 862100340 1077625425 1149467120 1436833900 1724200680 1796042375 2155250850 2873667800 3448401360 3592084750 4310501700 5388127125 5747335600 7184169500 8621003400 10776254250 14368339000 17242006800 21552508500 28736678000 43105017000 86210034000