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86244948384 = 2537823715581
BaseRepresentation
bin101000001010010011…
…0010111100110100000
322020121120002022200120
41100110212113212200
52403112201322014
6103342000320240
76142141652130
oct1202446274640
9266546068616
1086244948384
1133638030251
121486b313080
138195b94b4a
14426230aac0
15239b88dba9
hex14149979a0

86244948384 has 96 divisors (see below), whose sum is σ = 258782864256. Its totient is φ = 24636840960.

The previous prime is 86244948337. The next prime is 86244948389. The reversal of 86244948384 is 48384944268.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×862449483842 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86244948389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5527474 + ... + 5543054.

It is an arithmetic number, because the mean of its divisors is an integer number (2695654836).

Almost surely, 286244948384 is an apocalyptic number.

86244948384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86244948384 is an abundant number, since it is smaller than the sum of its proper divisors (172537915872).

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

86244948384 is a wasteful number, since it uses less digits than its factorization.

86244948384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23838 (or 23830 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 60.

The spelling of 86244948384 in words is "eighty-six billion, two hundred forty-four million, nine hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 8237 15581 16474 24711 31162 32948 46743 49422 57659 62324 65896 93486 98844 109067 115318 124648 131792 172977 186972 197688 218134 230636 249296 263584 327201 345954 373944 395376 436268 461272 498592 654402 691908 747888 790752 872536 922544 1308804 1383816 1495776 1745072 1845088 2617608 2767632 3490144 5235216 5535264 10470432 128340697 256681394 385022091 513362788 770044182 898384879 1026725576 1540088364 1796769758 2053451152 2695154637 3080176728 3593539516 4106902304 5390309274 6160353456 7187079032 10780618548 12320706912 14374158064 21561237096 28748316128 43122474192 86244948384