Search a number
-
+
82786838442627 = 3113767802488487
BaseRepresentation
bin10010110100101101010000…
…000110001111001010000011
3101212010100022010001020001210
4102310231100012033022003
541322334421120131002
6452023425404101203
723303103014046144
oct2264552006171203
9355110263036053
1082786838442627
1124418779063880
129350788834803
1337269c4686987
141662c937c7acb
159887204e296c
hex4b4b5018f283

82786838442627 has 16 divisors (see below), whose sum is σ = 123671739002112. Its totient is φ = 48817791709920.

The previous prime is 82786838442613. The next prime is 82786838442641. The reversal of 82786838442627 is 72624483868728.

It is an interprime number because it is at equal distance from previous prime (82786838442613) and next prime (82786838442641).

It is not a de Polignac number, because 82786838442627 - 216 = 82786838377091 is a prime.

It is a super-2 number, since 2×827868384426272 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82786838442677) 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, 33901243023 + ... + 33901245464.

It is an arithmetic number, because the mean of its divisors is an integer number (7729483687632).

Almost surely, 282786838442627 is an apocalyptic number.

82786838442627 is a deficient number, since it is larger than the sum of its proper divisors (40884900559485).

82786838442627 is a wasteful number, since it uses less digits than its factorization.

82786838442627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67802488538.

The product of its digits is 2774532096, while the sum is 75.

The spelling of 82786838442627 in words is "eighty-two trillion, seven hundred eighty-six billion, eight hundred thirty-eight million, four hundred forty-two thousand, six hundred twenty-seven".

Divisors: 1 3 11 33 37 111 407 1221 67802488487 203407465461 745827373357 2237482120071 2508692074019 7526076222057 27595612814209 82786838442627