Search a number
-
+
106062042681 = 337698380363
BaseRepresentation
bin110001011000111001…
…0100101011000111001
3101010202122110000111000
41202301302211120321
53214203340331211
6120420233355213
710443213326220
oct1426162453071
9333678400430
10106062042681
1140a87292531
121867bb68b09
13a0036bc14a
1451c21bdcb7
152b5b52a656
hex18b1ca5639

106062042681 has 32 divisors (see below), whose sum is σ = 179603896320. Its totient is φ = 60597448272.

The previous prime is 106062042659. The next prime is 106062042707. The reversal of 106062042681 is 186240260601.

106062042681 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 620 + 4 + 26 + 8 + 1 = 666.

It is not a de Polignac number, because 106062042681 - 26 = 106062042617 is a prime.

It is a super-2 number, since 2×1060620426812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106062042181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279606 + ... + 1359968.

It is an arithmetic number, because the mean of its divisors is an integer number (5612621760).

Almost surely, 2106062042681 is an apocalyptic number.

It is an amenable number.

106062042681 is a deficient number, since it is larger than the sum of its proper divisors (73541853639).

106062042681 is an equidigital number, since it uses as much as digits as its factorization.

106062042681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87362 (or 87356 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 106062042681 in words is "one hundred six billion, sixty-two million, forty-two thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 27 63 189 6983 20949 48881 62847 80363 146643 188541 241089 439929 562541 723267 1319787 1687623 2169801 5062869 15188607 561174829 1683524487 3928223803 5050573461 11784671409 15151720383 35354014227 106062042681