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64025565052152 = 233111911981964067
BaseRepresentation
bin11101000111011000111010…
…00011111011110011111000
322101200210011201020102112210
432203230131003323303320
531342443324123132102
6344100534420135120
716325460121335354
oct1643543503736370
9271623151212483
1064025565052152
11194450a9368850
1272207002374a0
13299577ac90c02
1411b4bd50aa464
157606ba14836c
hex3a3b1d0fbcf8

64025565052152 has 128 divisors (see below), whose sum is σ = 175540989542400. Its totient is φ = 19298831817600.

The previous prime is 64025565052147. The next prime is 64025565052271. The reversal of 64025565052152 is 25125056552046.

It is a happy number.

It is a super-2 number, since 2×640255650521522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999321223 + ... + 999385289.

It is an arithmetic number, because the mean of its divisors is an integer number (1371413980800).

Almost surely, 264025565052152 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 64025565052152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87770494771200).

64025565052152 is an abundant number, since it is smaller than the sum of its proper divisors (111515424490248).

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

64025565052152 is a wasteful number, since it uses less digits than its factorization.

64025565052152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84097 (or 84093 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 48.

The spelling of 64025565052152 in words is "sixty-four trillion, twenty-five billion, five hundred sixty-five million, fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 191 264 382 573 764 1146 1528 2101 2292 4202 4584 6303 8404 12606 16808 19819 25212 39638 50424 59457 64067 79276 118914 128134 158552 192201 218009 237828 256268 384402 436018 475656 512536 654027 704737 768804 872036 1308054 1409474 1537608 1744072 2114211 2616108 2818948 3785429 4228422 5232216 5637896 7570858 8456844 11356287 12236797 15141716 16913688 22712574 24473594 30283432 36710391 41639719 45425148 48947188 73420782 83279438 90850296 97894376 124919157 134604767 146841564 166558876 249838314 269209534 293683128 333117752 403814301 499676628 538419068 807628602 999353256 1076838136 1269743873 1615257204 2539487746 3230514408 3809231619 5078975492 7618463238 10157950984 13967182603 15236926476 27934365206 30473852952 41901547809 55868730412 83803095618 111737460824 167606191236 242521079743 335212382472 485042159486 727563239229 970084318972 1455126478458 1940168637944 2667731877173 2910252956916 5335463754346 5820505913832 8003195631519 10670927508692 16006391263038 21341855017384 32012782526076 64025565052152