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67012906986 = 2334121514889
BaseRepresentation
bin111110011010010001…
…111100111111101010
320101222020121101121000
4332122101330333222
52044220301010421
650441343055430
74561433211444
oct763221747752
9211866541530
1067012906986
1126469047963
1210ba25a1576
13641c631bac
14335a00d494
151b2326b226
hexf9a47cfea

67012906986 has 96 divisors (see below), whose sum is σ = 153680572800. Its totient is φ = 21644064000.

The previous prime is 67012906981. The next prime is 67012906991. The reversal of 67012906986 is 68960921076.

It is an interprime number because it is at equal distance from previous prime (67012906981) and next prime (67012906991).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (67012906981) 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 47 ways as a sum of consecutive naturals, for example, 13704430 + ... + 13709318.

It is an arithmetic number, because the mean of its divisors is an integer number (1600839300).

Almost surely, 267012906986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67012906986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76840286400).

67012906986 is an abundant number, since it is smaller than the sum of its proper divisors (86667665814).

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

67012906986 is a wasteful number, since it uses less digits than its factorization.

67012906986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 67012906986 in words is "sixty-seven billion, twelve million, nine hundred six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 151 246 302 369 453 738 906 1107 1359 1681 2214 2718 3362 4077 4889 5043 6191 8154 9778 10086 12382 14667 15129 18573 29334 30258 37146 44001 45387 55719 88002 90774 111438 132003 167157 200449 253831 264006 334314 400898 507662 601347 738239 761493 1202694 1476478 1522986 1804041 2214717 2284479 3608082 4429434 4568958 5412123 6644151 6853437 8218409 10824246 13288302 13706874 16436818 19932453 24655227 30267799 39864906 49310454 60535598 73965681 90803397 147931362 181606794 221897043 272410191 443794086 544820382 817230573 1240979759 1634461146 2481959518 3722939277 7445878554 11168817831 22337635662 33506453493 67012906986