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66733430940 = 223251133703753
BaseRepresentation
bin111110001001100111…
…110101100010011100
320101020202201112112100
4332021213311202130
52043132224242230
650353521005100
74551500542461
oct761147654234
9211222645470
1066733430940
1126335311420
1210b24a83790
1363a676bb57
143330c5d668
151b08963660
hexf899f589c

66733430940 has 72 divisors (see below), whose sum is σ = 220826996208. Its totient is φ = 16177800960.

The previous prime is 66733430921. The next prime is 66733430947. The reversal of 66733430940 is 4903433766.

66733430940 is a `hidden beast` number, since 6 + 6 + 7 + 334 + 309 + 4 + 0 = 666.

It is a super-3 number, since 3×667334309403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66733430947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16849897 + ... + 16853856.

It is an arithmetic number, because the mean of its divisors is an integer number (3067041614).

Almost surely, 266733430940 is an apocalyptic number.

66733430940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66733430940 is an abundant number, since it is smaller than the sum of its proper divisors (154093565268).

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

66733430940 is a wasteful number, since it uses less digits than its factorization.

66733430940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33703779 (or 33703774 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 66733430940 in words is "sixty-six billion, seven hundred thirty-three million, four hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 33703753 67407506 101111259 134815012 168518765 202222518 303333777 337037530 370741283 404445036 505556295 606667554 674075060 741482566 1011112590 1112223849 1213335108 1482965132 1516668885 1853706415 2022225180 2224447698 3033337770 3336671547 3707412830 4448895396 5561119245 6066675540 6673343094 7414825660 11122238490 13346686188 16683357735 22244476980 33366715470 66733430940