Search a number
-
+
111106770476004 = 22323086299179889
BaseRepresentation
bin11001010000110100001111…
…100101100001101111100100
3112120101200222212110100220100
4121100310033211201233210
5104030333131220213004
61032145425024104100
732255125230402312
oct3120641745415744
9476350885410810
10111106770476004
1132447131427aa6
12105652a0765030
1349cc42895bc44
141d6184c6990b2
15cca21e790739
hex650d0f961be4

111106770476004 has 18 divisors (see below), whose sum is σ = 280853225369990. Its totient is φ = 37035590158656.

The previous prime is 111106770475973. The next prime is 111106770476057. The reversal of 111106770476004 is 400674077601111.

111106770476004 is a `hidden beast` number, since 1 + 1 + 1 + 106 + 7 + 70 + 476 + 0 + 0 + 4 = 666.

111106770476004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 80890201234404 + 30216569241600 = 8993898^2 + 5496960^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1111067704760043 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1543149589909 + ... + 1543149589980.

Almost surely, 2111106770476004 is an apocalyptic number.

It is an amenable number.

111106770476004 is an abundant number, since it is smaller than the sum of its proper divisors (169746454893986).

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

111106770476004 is a wasteful number, since it uses less digits than its factorization.

111106770476004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086299179899 (or 3086299179894 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 111106770476004 in words is "one hundred eleven trillion, one hundred six billion, seven hundred seventy million, four hundred seventy-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 3086299179889 6172598359778 9258897539667 12345196719556 18517795079334 27776692619001 37035590158668 55553385238002 111106770476004