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83056287611264 = 27111291235393
BaseRepresentation
bin10010111000101000001100…
…100001001111100110000000
3101220002002210111012012212012
4102320220030201033212000
541341243234112030024
6452351310510552052
723331422143146362
oct2270501441174600
9356062714165765
1083056287611264
1124511a790a1310
129394a46808628
133746235c7b776
141671d35296d32
15990740a1d50e
hex4b8a0c84f980

83056287611264 has 96 divisors (see below), whose sum is σ = 180650883267720. Its totient is φ = 37722549043200.

The previous prime is 83056287611189. The next prime is 83056287611333. The reversal of 83056287611264 is 46211678265038.

83056287611264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2346669152 + ... + 2346704544.

Almost surely, 283056287611264 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 83056287611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90325441633860).

83056287611264 is an abundant number, since it is smaller than the sum of its proper divisors (97594595656456).

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

83056287611264 is an equidigital number, since it uses as much as digits as its factorization.

83056287611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38000 (or 36697 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 83056287611264 in words is "eighty-three trillion, fifty-six billion, two hundred eighty-seven million, six hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1291 1408 2582 5164 10328 14201 20656 28402 35393 41312 56804 70786 82624 113608 141572 165248 227216 283144 389323 454432 566288 778646 908864 1132576 1557292 1666681 1817728 2265152 3114584 3333362 4530304 6229168 6666724 12458336 13333448 18333491 24916672 26666896 36666982 45692363 49833344 53333792 73333964 91384726 106667584 146667928 182769452 213335168 293335856 365538904 502615993 586671712 731077808 1005231986 1173343424 1462155616 2010463972 2346686848 2924311232 4020927944 5848622464 8041855888 16083711776 32167423552 58988840633 64334847104 117977681266 235955362532 471910725064 648877246963 943821450128 1297754493926 1887642900256 2595508987852 3775285800512 5191017975704 7550571601024 10382035951408 20764071902816 41528143805632 83056287611264