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66744869490 = 23251357199907
BaseRepresentation
bin111110001010010011…
…011110001001110010
320101021120020200021100
4332022103132021302
52043143141310430
650355010105230
74552000013145
oct761223361162
9211246220240
1066744869490
1126340814372
1210b2887b216
1363a8c45420
14333259a05c
151b09972960
hexf8a4de272

66744869490 has 96 divisors (see below), whose sum is σ = 187214803776. Its totient is φ = 16400568960.

The previous prime is 66744869483. The next prime is 66744869531. The reversal of 66744869490 is 9496844766.

66744869490 is a `hidden beast` number, since 6 + 67 + 4 + 4 + 86 + 9 + 490 = 666.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 618117 + ... + 718023.

It is an arithmetic number, because the mean of its divisors is an integer number (1950154206).

Almost surely, 266744869490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66744869490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93607401888).

66744869490 is an abundant number, since it is smaller than the sum of its proper divisors (120469934286).

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

66744869490 is a wasteful number, since it uses less digits than its factorization.

66744869490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100504 (or 100501 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 66744869490 in words is "sixty-six billion, seven hundred forty-four million, eight hundred sixty-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 571 585 1142 1170 1713 2855 3426 5139 5710 7423 8565 10278 14846 17130 22269 25695 37115 44538 51390 66807 74230 99907 111345 133614 199814 222690 299721 334035 499535 599442 668070 899163 999070 1298791 1498605 1798326 2597582 2997210 3896373 4495815 6493955 7792746 8991630 11689119 12987910 19481865 23378238 38963730 57046897 58445595 114093794 116891190 171140691 285234485 342281382 513422073 570468970 741609661 855703455 1026844146 1483219322 1711406910 2224828983 2567110365 3708048305 4449657966 5134220730 6674486949 7416096610 11124144915 13348973898 22248289830 33372434745 66744869490