Search a number
-
+
106186894688 = 257474048637
BaseRepresentation
bin110001011100100111…
…0110110110101100000
3101011002100101011020102
41202321032312311200
53214432321112223
6120440453401532
710446260466230
oct1427116666540
9334070334212
10106186894688
1141040808706
12186b59392a8
13a023524684
1451d49ddcc0
152b6748d928
hex18b93b6d60

106186894688 has 24 divisors (see below), whose sum is σ = 238920513552. Its totient is φ = 45508669056.

The previous prime is 106186894673. The next prime is 106186894699. The reversal of 106186894688 is 886498681601.

It is a super-2 number, since 2×1061868946882 (a number of 23 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 237024095 + ... + 237024542.

It is an arithmetic number, because the mean of its divisors is an integer number (9955021398).

Almost surely, 2106186894688 is an apocalyptic number.

It is an amenable number.

106186894688 is an abundant number, since it is smaller than the sum of its proper divisors (132733618864).

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

106186894688 is an equidigital number, since it uses as much as digits as its factorization.

106186894688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474048654 (or 474048646 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 65.

The spelling of 106186894688 in words is "one hundred six billion, one hundred eighty-six million, eight hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 474048637 948097274 1896194548 3318340459 3792389096 6636680918 7584778192 13273361836 15169556384 26546723672 53093447344 106186894688