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66287601632 = 2577113673049
BaseRepresentation
bin111101101111000011…
…001000011111100000
320100002200211001200202
4331233003020133200
52041224111223012
650241353204332
74534445213540
oct755703103740
9210080731622
1066287601632
112612669424a
1210a1b7006a8
1363352a2625
1432cb969320
151ace74acc2
hexf6f0c87e0

66287601632 has 96 divisors (see below), whose sum is σ = 151408051200. Its totient is φ = 27979176960.

The previous prime is 66287601593. The next prime is 66287601647. The reversal of 66287601632 is 23610678266.

It is a super-2 number, since 2×662876016322 (a number of 22 digits) contains 22 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 21739244 + ... + 21742292.

It is an arithmetic number, because the mean of its divisors is an integer number (1577167200).

Almost surely, 266287601632 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 66287601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75704025600).

66287601632 is an abundant number, since it is smaller than the sum of its proper divisors (85120449568).

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

66287601632 is a wasteful number, since it uses less digits than its factorization.

66287601632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 66287601632 in words is "sixty-six billion, two hundred eighty-seven million, six hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1367 1988 2272 2734 3049 3976 5468 6098 7952 9569 10936 12196 15904 19138 21343 21872 24392 38276 42686 43744 48784 76552 85372 97057 97568 153104 170744 194114 216479 306208 341488 388228 432958 679399 682976 776456 865916 1358798 1515353 1552912 1731832 2717596 3030706 3105824 3463664 4167983 5435192 6061412 6927328 8335966 10870384 12122824 16671932 21740768 24245648 29175881 33343864 48491296 58351762 66687728 116703524 133375456 233407048 295926793 466814096 591853586 933628192 1183707172 2071487551 2367414344 4142975102 4734828688 8285950204 9469657376 16571900408 33143800816 66287601632