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67658980506 = 231319127359479
BaseRepresentation
bin111111000000110010…
…100001110010011010
320110122021022022211220
4333000302201302122
52102031144334011
651025422432510
74613436562635
oct770062416232
9213567268756
1067658980506
112676a804517
1211142a32736
1364c343c910
1433bbb4ac1c
151b5ed3a506
hexfc0ca1c9a

67658980506 has 64 divisors (see below), whose sum is σ = 154605158400. Its totient is φ = 19567106496.

The previous prime is 67658980463. The next prime is 67658980507. The reversal of 67658980506 is 60508985676.

It is a super-2 number, since 2×676589805062 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67658980506.

It is not an unprimeable number, because it can be changed into a prime (67658980507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8475 + ... + 367953.

It is an arithmetic number, because the mean of its divisors is an integer number (2415705600).

Almost surely, 267658980506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67658980506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77302579200).

67658980506 is an abundant number, since it is smaller than the sum of its proper divisors (86946177894).

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

67658980506 is a wasteful number, since it uses less digits than its factorization.

67658980506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359643.

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 67658980506 in words is "sixty-seven billion, six hundred fifty-eight million, nine hundred eighty thousand, five hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 127 247 254 381 494 741 762 1482 1651 2413 3302 4826 4953 7239 9906 14478 31369 62738 94107 188214 359479 718958 1078437 2156874 4673227 6830101 9346454 13660202 14019681 20490303 28039362 40980606 45653833 88791313 91307666 136961499 177582626 266373939 273922998 532747878 593499829 867422827 1186999658 1734845654 1780499487 2602268481 3560998974 5204536962 11276496751 22552993502 33829490253 67658980506