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67982515056 = 24331073114729
BaseRepresentation
bin111111010100000100…
…101101101101110000
320111110211002120211000
4333110010231231300
52103212010440211
651121501122000
74624445562231
oct772404555560
9214424076730
1067982515056
11269163a2845
1211213259300
13654548a891
14340cac9088
151b7d447656
hexfd412db70

67982515056 has 160 divisors (see below), whose sum is σ = 197633779200. Its totient is φ = 22372139520.

The previous prime is 67982515049. The next prime is 67982515057. The reversal of 67982515056 is 65051528976.

67982515056 is a `hidden beast` number, since 6 + 7 + 9 + 82 + 51 + 505 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 67982514993 and 67982515011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67982515057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14373300 + ... + 14378028.

It is an arithmetic number, because the mean of its divisors is an integer number (1235211120).

Almost surely, 267982515056 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 67982515056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98816889600).

67982515056 is an abundant number, since it is smaller than the sum of its proper divisors (129651264144).

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

67982515056 is a wasteful number, since it uses less digits than its factorization.

67982515056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 67982515056 in words is "sixty-seven billion, nine hundred eighty-two million, five hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 311 321 428 432 622 642 856 933 963 1244 1284 1712 1866 1926 2488 2568 2799 2889 3732 3852 4729 4976 5136 5598 5778 7464 7704 8397 9458 11196 11556 14187 14928 15408 16794 18916 22392 23112 28374 33277 33588 37832 42561 44784 46224 56748 66554 67176 75664 85122 99831 113496 127683 133108 134352 170244 199662 226992 255366 266216 299493 340488 399324 506003 510732 532432 598986 680976 798648 898479 1012006 1021464 1197972 1470719 1518009 1597296 1796958 2024012 2042928 2395944 2941438 3036018 3593916 4048024 4412157 4554027 4791888 5882876 6072036 7187832 8096048 8824314 9108054 11765752 12144072 13236471 13662081 14375664 17648628 18216108 23531504 24288144 26472942 27324162 35297256 36432216 39709413 52945884 54648324 70594512 72864432 79418826 105891768 109296648 157366933 158837652 211783536 218593296 314733866 317675304 472100799 629467732 635350608 944201598 1258935464 1416302397 1888403196 2517870928 2832604794 3776806392 4248907191 5665209588 7553612784 8497814382 11330419176 16995628764 22660838352 33991257528 67982515056