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327133046007 = 3379153367579
BaseRepresentation
bin1001100001010101010…
…01100010010011110111
31011021101110112120121000
410300222221202103313
520324432024433012
6410141032254343
732430443003625
oct4605251422367
91137343476530
10327133046007
11116811092369
12534982413b3
1324b05253511
1411b948d8515
158799774ddc
hex4c2aa624f7

327133046007 has 16 divisors (see below), whose sum is σ = 490776256000. Its totient is φ = 215328079512.

The previous prime is 327133045979. The next prime is 327133046011. The reversal of 327133046007 is 700640331723.

327133046007 is a `hidden beast` number, since 3 + 2 + 7 + 13 + 30 + 4 + 600 + 7 = 666.

It is not a de Polignac number, because 327133046007 - 215 = 327133013239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327133046017) by changing a digit.

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, 76681657 + ... + 76685922.

It is an arithmetic number, because the mean of its divisors is an integer number (30673516000).

Almost surely, 2327133046007 is an apocalyptic number.

327133046007 is a deficient number, since it is larger than the sum of its proper divisors (163643209993).

327133046007 is a wasteful number, since it uses less digits than its factorization.

327133046007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153367667 (or 153367661 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 327133046007 in words is "three hundred twenty-seven billion, one hundred thirty-three million, forty-six thousand, seven".

Divisors: 1 3 9 27 79 237 711 2133 153367579 460102737 1380308211 4140924633 12116038741 36348116223 109044348669 327133046007