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67990417704441 = 3317914067953177
BaseRepresentation
bin11110111010110010000001…
…01100100000010111111001
322220201211011002222212111000
433131121000230200113321
532402423333413020231
6400334211112355213
720215100634663141
oct1735310054402771
9286654132885430
1067990417704441
111a733635318911
127760bb93a5b09
132bc261318507b
1412b0a7a505921
157cd8c06696e6
hex3dd640b205f9

67990417704441 has 16 divisors (see below), whose sum is σ = 101289262881600. Its totient is φ = 45073721975904.

The previous prime is 67990417704439. The next prime is 67990417704479. The reversal of 67990417704441 is 14440771409976.

67990417704441 is a `hidden beast` number, since 6 + 79 + 9 + 0 + 417 + 70 + 44 + 41 = 666.

67990417704441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 67990417704441 - 21 = 67990417704439 is a prime.

It is a super-2 number, since 2×679904177044412 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67990417704431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7033971756 + ... + 7033981421.

It is an arithmetic number, because the mean of its divisors is an integer number (6330578930100).

Almost surely, 267990417704441 is an apocalyptic number.

It is an amenable number.

67990417704441 is a deficient number, since it is larger than the sum of its proper divisors (33298845177159).

67990417704441 is a wasteful number, since it uses less digits than its factorization.

67990417704441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14067953365 (or 14067953359 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 67990417704441 in words is "sixty-seven trillion, nine hundred ninety billion, four hundred seventeen million, seven hundred four thousand, four hundred forty-one".

Divisors: 1 3 9 27 179 537 1611 4833 14067953177 42203859531 126611578593 379834735779 2518163618683 7554490856049 22663472568147 67990417704441