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842146011 = 33737120427
BaseRepresentation
bin110010001100100…
…010000011011011
32011200122110011000
4302030202003123
53211042133021
6215322040043
726604060120
oct6214420333
92150573130
10842146011
113a2407843
121b6049023
1310561b465
147dbba747
154ddeeb26
hex323220db

842146011 has 32 divisors (see below), whose sum is σ = 1464404480. Its totient is φ = 468216288.

The previous prime is 842146009. The next prime is 842146033. The reversal of 842146011 is 110641248.

It is a happy number.

842146011 is a `hidden beast` number, since 8 + 42 + 14 + 601 + 1 = 666.

It is not a de Polignac number, because 842146011 - 21 = 842146009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (842146001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53221 + ... + 67206.

It is an arithmetic number, because the mean of its divisors is an integer number (45762640).

Almost surely, 2842146011 is an apocalyptic number.

842146011 is a deficient number, since it is larger than the sum of its proper divisors (622258469).

842146011 is a wasteful number, since it uses less digits than its factorization.

842146011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120480 (or 120474 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 842146011 is about 29019.7520837102. The cubic root of 842146011 is about 944.3416225465.

Adding to 842146011 its reverse (110641248), we get a palindrome (952787259).

The spelling of 842146011 in words is "eight hundred forty-two million, one hundred forty-six thousand, eleven".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 120427 361281 842989 1083843 2528967 3251529 4455799 7586901 13367397 22760703 31190593 40102191 93571779 120306573 280715337 842146011