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82095364340 = 22511379984593
BaseRepresentation
bin100110001110101000…
…0111101100011110100
321211220100220121111122
41030131100331203310
52321112403124330
6101414124323112
75634254040353
oct1143520754364
9254810817448
1082095364340
11318a8769350
1213ab16a3498
13798428b982
143d8b17999a
15220741c5e5
hex131d43d8f4

82095364340 has 48 divisors (see below), whose sum is σ = 188569442880. Its totient is φ = 29774062080.

The previous prime is 82095364321. The next prime is 82095364361. The reversal of 82095364340 is 4346359028.

It is a super-2 number, since 2×820953643402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 82095364291 and 82095364300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408917 + ... + 575676.

It is an arithmetic number, because the mean of its divisors is an integer number (3928530060).

Almost surely, 282095364340 is an apocalyptic number.

It is an amenable number.

82095364340 is an abundant number, since it is smaller than the sum of its proper divisors (106474078540).

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

82095364340 is a wasteful number, since it uses less digits than its factorization.

82095364340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984992 (or 984990 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 82095364340 in words is "eighty-two billion, ninety-five million, three hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 379 758 1516 1895 3790 4169 7580 8338 16676 20845 41690 83380 984593 1969186 3938372 4922965 9845930 10830523 19691860 21661046 43322092 54152615 108305230 216610460 373160747 746321494 1492642988 1865803735 3731607470 4104768217 7463214940 8209536434 16419072868 20523841085 41047682170 82095364340