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84134653056 = 2732201736209
BaseRepresentation
bin100111001011011010…
…0001110110010000000
322001011111012012201100
41032112310032302000
52334301432344211
6102352333334400
76035635515456
oct1162664166200
9261144165640
1084134653056
1132754900123
1214380637400
137c1a910b9c
144101d409d6
1522c6491156
hex1396d0ec80

84134653056 has 96 divisors (see below), whose sum is σ = 242232950700. Its totient is φ = 28030205952.

The previous prime is 84134653037. The next prime is 84134653073. The reversal of 84134653056 is 65035643148.

84134653056 is a `hidden beast` number, since 84 + 1 + 34 + 6 + 530 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84123201600 + 11451456 = 290040^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 2305480 + ... + 2341688.

Almost surely, 284134653056 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 84134653056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121116475350).

84134653056 is an abundant number, since it is smaller than the sum of its proper divisors (158098297644).

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

84134653056 is a wasteful number, since it uses less digits than its factorization.

84134653056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38246 (or 38231 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 84134653056 in words is "eighty-four billion, one hundred thirty-four million, six hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2017 4034 6051 8068 12102 16136 18153 24204 32272 36209 36306 48408 64544 72418 72612 96816 108627 129088 144836 145224 193632 217254 258176 289672 290448 325881 387264 434508 579344 580896 651762 774528 869016 1158688 1161792 1303524 1738032 2317376 2323584 2607048 3476064 4634752 5214096 6952128 10428192 13904256 20856384 41712768 73033553 146067106 219100659 292134212 438201318 584268424 657301977 876402636 1168536848 1314603954 1752805272 2337073696 2629207908 3505610544 4674147392 5258415816 7011221088 9348294784 10516831632 14022442176 21033663264 28044884352 42067326528 84134653056