Search a number
-
+
82134499443128 = 23117855971188073
BaseRepresentation
bin10010101011001101101101…
…101010011100000110111000
3101202210222111111010111211122
4102223031231222130012320
541231142423324140003
6450404022415244412
723205010315043636
oct2253155552340670
9352728444114748
1082134499443128
112419705576a2a0
129266271819708
1336aa33350b2a2
14163d48c312356
159767907a8238
hex4ab36da9c1b8

82134499443128 has 32 divisors (see below), whose sum is σ = 168002740485360. Its totient is φ = 37333784436480.

The previous prime is 82134499443107. The next prime is 82134499443167.

82134499443128 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68538500 + ... + 69726572.

Almost surely, 282134499443128 is an apocalyptic number.

82134499443128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82134499443128 is an abundant number, since it is smaller than the sum of its proper divisors (85868241042232).

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

82134499443128 is a wasteful number, since it uses less digits than its factorization.

82134499443128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973687 (or 1973683 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 62.

The spelling of 82134499443128 in words is "eighty-two trillion, one hundred thirty-four billion, four hundred ninety-nine million, four hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 785597 1188073 1571194 2376146 3142388 4752292 6284776 8641567 9504584 13068803 17283134 26137606 34566268 52275212 69132536 104550424 933346584581 1866693169162 3733386338324 7466772676648 10266812430391 20533624860782 41067249721564 82134499443128