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946040978061 = 33100373490939
BaseRepresentation
bin11011100010001000110…
…11111011101010001101
310100102220020000002202000
431301010123323222031
5110444442442244221
62002334421222513
7125230530430164
oct15610433735215
93312806002660
10946040978061
11335239518093
12133423261a39
136b2992541aa
1433b07dcc3db
151991e542e26
hexdc446fba8d

946040978061 has 16 divisors (see below), whose sum is σ = 1401682228800. Its totient is φ = 630630967824.

The previous prime is 946040978023. The next prime is 946040978081. The reversal of 946040978061 is 160879040649.

946040978061 is a `hidden beast` number, since 9 + 460 + 40 + 9 + 7 + 80 + 61 = 666.

It is not a de Polignac number, because 946040978061 - 27 = 946040977933 is a prime.

It is a super-2 number, since 2×9460409780612 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 946040977989 and 946040978007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946040978081) 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, 1474471 + ... + 2016468.

It is an arithmetic number, because the mean of its divisors is an integer number (87605139300).

Almost surely, 2946040978061 is an apocalyptic number.

It is an amenable number.

946040978061 is a deficient number, since it is larger than the sum of its proper divisors (455641250739).

946040978061 is a wasteful number, since it uses less digits than its factorization.

946040978061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500985 (or 3500979 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 946040978061 in words is "nine hundred forty-six billion, forty million, nine hundred seventy-eight thousand, sixty-one".

Divisors: 1 3 9 27 10037 30111 90333 270999 3490939 10472817 31418451 94255353 35038554743 105115664229 315346992687 946040978061