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83895405328 = 2474753833623
BaseRepresentation
bin100111000100010001…
…1100100101100010000
322000112211000011112101
41032020203210230100
52333304210432303
6102312505410144
76030002115310
oct1161043445420
9260484004471
1083895405328
1132641850829
1214314499954
137bb0194597
1440bc263440
1522b0482d1d
hex13888e4b10

83895405328 has 160 divisors (see below), whose sum is σ = 195683475456. Its totient is φ = 34100811264.

The previous prime is 83895405299. The next prime is 83895405329. The reversal of 83895405328 is 82350459838.

It is not an unprimeable number, because it can be changed into a prime (83895405329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23154525 + ... + 23158147.

Almost surely, 283895405328 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 83895405328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97841737728).

83895405328 is an abundant number, since it is smaller than the sum of its proper divisors (111788070128).

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

83895405328 is a wasteful number, since it uses less digits than its factorization.

83895405328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 83895405328 in words is "eighty-three billion, eight hundred ninety-five million, four hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 47 53 56 83 94 106 112 166 188 212 329 332 371 376 424 581 658 664 742 752 848 1162 1316 1328 1484 2324 2491 2632 2968 3623 3901 4399 4648 4982 5264 5936 7246 7802 8798 9296 9964 14492 15604 17437 17596 19928 25361 27307 28984 30793 31208 34874 35192 39856 50722 54614 57968 61586 62416 69748 70384 101444 109228 123172 139496 170281 192019 202888 206753 218456 246344 278992 300709 340562 384038 405776 413506 436912 492688 601418 681124 768076 827012 1191967 1202836 1344133 1362248 1447271 1536152 1654024 2104963 2383934 2405672 2688266 2724496 2894542 3072304 3308048 4209926 4767868 4811344 5376532 5789084 8419852 9024893 9535736 10753064 11578168 14133323 15937577 16839704 18049786 19071472 21506128 23156336 28266646 31875154 33679408 36099572 56533292 63174251 63750308 72199144 98933261 111563039 113066584 126348502 127500616 144398288 197866522 223126078 226133168 252697004 255001232 395733044 446252156 505394008 749066119 791466088 892504312 1010788016 1498132238 1582932176 1785008624 2996264476 5243462833 5992528952 10486925666 11985057904 20973851332 41947702664 83895405328