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85137901551232 = 2747233274122159
BaseRepresentation
bin10011010110111010110110…
…011000001111111010000000
3102011110002210202001210020121
4103112322312120033322000
542124344410244114412
6501023451221550024
723635003365535405
oct2326726630177200
9364402722053217
1085137901551232
1125144865981162
129670366b75314
133867614b216ba
1417049a6da42ac
159c9973a1e107
hex4d6eb660fe80

85137901551232 has 128 divisors (see below), whose sum is σ = 174034152115200. Its totient is φ = 41467410063360.

The previous prime is 85137901551221. The next prime is 85137901551299. The reversal of 85137901551232 is 23215510973158.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 85137901551232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3842125369 + ... + 3842147527.

It is an arithmetic number, because the mean of its divisors is an integer number (1359641813400).

Almost surely, 285137901551232 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 85137901551232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87017076057600).

85137901551232 is an abundant number, since it is smaller than the sum of its proper divisors (88896250563968).

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

85137901551232 is a wasteful number, since it uses less digits than its factorization.

85137901551232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25194 (or 25182 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 52.

The spelling of 85137901551232 in words is "eighty-five trillion, one hundred thirty-seven billion, nine hundred one million, five hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 233 376 466 752 932 1504 1864 2741 3008 3728 5482 6016 7456 10951 10964 14912 21902 21928 22159 29824 43804 43856 44318 87608 87712 88636 128827 175216 175424 177272 257654 350432 350848 354544 515308 638653 700864 709088 1030616 1041473 1277306 1401728 1418176 2061232 2082946 2554612 2836352 4122464 4165892 5109224 5163047 8244928 8331784 10218448 10326094 16489856 16663568 20436896 20652188 30016691 33327136 40873792 41304376 60033382 60737819 66654272 81747584 82608752 120066764 121475638 133308544 165217504 240133528 242663209 242951276 330435008 480267056 485326418 485902552 660870016 960534112 970652836 971805104 1921068224 1941305672 1943610208 2854677493 3842136448 3882611344 3887220416 5709354986 7765222688 7774440832 11418709972 14151911827 15530445376 22837419944 28303823654 31060890752 45674839888 56607647308 91349679776 113215294616 182699359552 226430589232 365398719104 452861178464 665139855869 905722356928 1330279711738 1811444713856 2660559423476 5321118846952 10642237693904 21284475387808 42568950775616 85137901551232