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642146641246 = 211179833174613
BaseRepresentation
bin10010101100000101110…
…11000010010101011110
32021101111022012021012001
421112002323002111132
541010104020004441
61210555331032514
764251664251055
oct11260273022536
92241438167161
10642146641246
11228373046a10
12a455173b73a
134872867b296
142311999d39c
1511a85031731
hex9582ec255e

642146641246 has 32 divisors (see below), whose sum is σ = 1112715841248. Its totient is φ = 274685629440.

The previous prime is 642146641223. The next prime is 642146641271.

642146641246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 642146641196 and 642146641205.

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 15 ways as a sum of consecutive naturals, for example, 3590236 + ... + 3764848.

It is an arithmetic number, because the mean of its divisors is an integer number (34772370039).

Almost surely, 2642146641246 is an apocalyptic number.

642146641246 is a deficient number, since it is larger than the sum of its proper divisors (470569200002).

642146641246 is a wasteful number, since it uses less digits than its factorization.

642146641246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184476.

The product of its digits is 1327104, while the sum is 46.

The spelling of 642146641246 in words is "six hundred forty-two billion, one hundred forty-six million, six hundred forty-one thousand, two hundred forty-six".

Divisors: 1 2 11 17 22 34 187 374 9833 19666 108163 167161 174613 216326 334322 349226 1838771 1920743 2968421 3677542 3841486 5936842 32652631 65305262 1716969629 3433939258 18886665919 29188483693 37773331838 58376967386 321073320623 642146641246