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66681340020 = 2234541161321
BaseRepresentation
bin111110000110100001…
…001000000001110100
320101010010201001020000
4332012201020001310
52043030410340040
650344420311300
74550266016061
oct760641100164
9211103631200
1066681340020
1126308972779
1210b0b542530
136398a30b19
143327d7dc68
151b040c4130
hexf86848074

66681340020 has 60 divisors (see below), whose sum is σ = 209181838404. Its totient is φ = 17781690240.

The previous prime is 66681339961. The next prime is 66681340021. The reversal of 66681340020 is 2004318666.

It can be written as a sum of positive squares in 2 ways, for example, as 7571088144 + 59110251876 = 87012^2 + 243126^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×666813400202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66681340021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20579041 + ... + 20582280.

Almost surely, 266681340020 is an apocalyptic number.

66681340020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66681340020 is an abundant number, since it is smaller than the sum of its proper divisors (142500498384).

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

66681340020 is a wasteful number, since it uses less digits than its factorization.

66681340020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41161342 (or 41161331 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 66681340020 its reverse (2004318666), we get a palindrome (68685658686).

The spelling of 66681340020 in words is "sixty-six billion, six hundred eighty-one million, three hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 41161321 82322642 123483963 164645284 205806605 246967926 370451889 411613210 493935852 617419815 740903778 823226420 1111355667 1234839630 1481807556 1852259445 2222711334 2469679260 3334067001 3704518890 4445422668 5556778335 6668134002 7409037780 11113556670 13336268004 16670335005 22227113340 33340670010 66681340020