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67807243040780 = 22517476196855019
BaseRepresentation
bin11110110101011100110101…
…01000100111100000001100
322220002022100100112211101202
433122232122220213200030
532341423213204301110
6400114114543525032
720165624460015635
oct1732563250474014
9286068310484352
1067807243040780
111a672987a68961
1277315b85b9778
132bab270903319
1412a5c60c3888c
157c8c4e3ba0a5
hex3dab9aa2780c

67807243040780 has 96 divisors (see below), whose sum is σ = 154228078771200. Its totient is φ = 24943929818112.

The previous prime is 67807243040759. The next prime is 67807243040783. The reversal of 67807243040780 is 8704034270876.

It is a happy number.

67807243040780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (67807243040783) 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 31 ways as a sum of consecutive naturals, for example, 6464111 + ... + 13319129.

It is an arithmetic number, because the mean of its divisors is an integer number (1606542487200).

Almost surely, 267807243040780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67807243040780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77114039385600).

67807243040780 is an abundant number, since it is smaller than the sum of its proper divisors (86420835730420).

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

67807243040780 is a wasteful number, since it uses less digits than its factorization.

67807243040780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855711 (or 6855709 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 56.

The spelling of 67807243040780 in words is "sixty-seven trillion, eight hundred seven billion, two hundred forty-three million, forty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 619 799 940 1238 1598 2476 3095 3196 3995 6190 7990 10523 12380 15980 21046 29093 42092 52615 58186 105230 116372 145465 210460 290930 494581 581860 989162 1978324 2472905 4945810 6855019 9891620 13710038 27420076 34275095 68550190 116535323 137100380 233070646 322185893 466141292 582676615 644371786 1165353230 1288743572 1610929465 2330706460 3221858930 4243256761 5477160181 6443717860 8486513522 10954320362 16973027044 21216283805 21908640724 27385800905 42432567610 54771601810 72135364937 84865135220 109543203620 144270729874 199433067767 288541459748 360676824685 398866135534 721353649370 797732271068 997165338835 1442707298740 1994330677670 3390362152039 3988661355340 6780724304078 13561448608156 16951810760195 33903621520390 67807243040780