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66315730160 = 24517321122709
BaseRepresentation
bin111101110000101110…
…011011110011110000
320100011122202010210002
4331300232123303300
52041303311331120
650244240125132
74535236256111
oct756056336360
9210148663702
1066315730160
1126140556669
1210a290067a8
13633b070824
1432d15ac208
151ad1e55375
hexf70b9bcf0

66315730160 has 80 divisors (see below), whose sum is σ = 155817125280. Its totient is φ = 26246814720.

The previous prime is 66315730157. The next prime is 66315730163. The reversal of 66315730160 is 6103751366.

It is an interprime number because it is at equal distance from previous prime (66315730157) and next prime (66315730163).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66315730163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2908886 + ... + 2931594.

It is an arithmetic number, because the mean of its divisors is an integer number (1947714066).

Almost surely, 266315730160 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 66315730160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77908562640).

66315730160 is an abundant number, since it is smaller than the sum of its proper divisors (89501395120).

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

66315730160 is a wasteful number, since it uses less digits than its factorization.

66315730160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23106 (or 23100 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 66315730160 in words is "sixty-six billion, three hundred fifteen million, seven hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 211 346 422 692 844 865 1055 1384 1688 1730 2110 2768 3376 3460 4220 6920 8440 13840 16880 22709 36503 45418 73006 90836 113545 146012 181672 182515 227090 292024 363344 365030 454180 584048 730060 908360 1460120 1816720 2920240 3928657 4791599 7857314 9583198 15714628 19166396 19643285 23957995 31429256 38332792 39286570 47915990 62858512 76665584 78573140 95831980 157146280 191663960 314292560 383327920 828946627 1657893254 3315786508 4144733135 6631573016 8289466270 13263146032 16578932540 33157865080 66315730160