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67340740734816 = 2531931363265691
BaseRepresentation
bin11110100111110111111001…
…11011100010111101100000
322211102201020000011021201220
433103323330323202331200
532311302314112003231
6355115524220255040
720120131221601653
oct1723737473427540
9284381200137656
1067340740734816
111a50305863681a
1276771059a1480
132b7628768a4a3
14128b4487bb89a
157bba494b4896
hex3d3efcee2f60

67340740734816 has 48 divisors (see below), whose sum is σ = 176860987869888. Its totient is φ = 22435289014400.

The previous prime is 67340740734781. The next prime is 67340740734847. The reversal of 67340740734816 is 61843704704376.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67340740734816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181447470 + ... + 181818221.

It is an arithmetic number, because the mean of its divisors is an integer number (3684603913956).

Almost surely, 267340740734816 is an apocalyptic number.

It is an amenable number.

67340740734816 is an abundant number, since it is smaller than the sum of its proper divisors (109520247135072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67340740734816 is a wasteful number, since it uses less digits than its factorization.

67340740734816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363267635 (or 363267627 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 60.

The spelling of 67340740734816 in words is "sixty-seven trillion, three hundred forty billion, seven hundred forty million, seven hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1931 3862 5793 7724 11586 15448 23172 30896 46344 61792 92688 185376 363265691 726531382 1089797073 1453062764 2179594146 2906125528 4359188292 5812251056 8718376584 11624502112 17436753168 34873506336 701466049321 1402932098642 2104398147963 2805864197284 4208796295926 5611728394568 8417592591852 11223456789136 16835185183704 22446913578272 33670370367408 67340740734816