Search a number
-
+
84854770056 = 233271231136769
BaseRepresentation
bin100111100000110111…
…1010000100110001000
322010000200012221112100
41033001233100212020
52342240310120211
6102552020113400
76062531434110
oct1170157204610
9263020187470
1084854770056
1132a9433a741
1214541835860
138003b74a14
14416d834040
1523197d9156
hex13c1bd0988

84854770056 has 96 divisors (see below), whose sum is σ = 262860998400. Its totient is φ = 24224348160.

The previous prime is 84854769953. The next prime is 84854770109. The reversal of 84854770056 is 65007745848.

84854770056 is a `hidden beast` number, since 8 + 48 + 547 + 7 + 0 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 84854769984 and 84854770011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552040 + ... + 688808.

It is an arithmetic number, because the mean of its divisors is an integer number (2738135400).

Almost surely, 284854770056 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 84854770056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131430499200).

84854770056 is an abundant number, since it is smaller than the sum of its proper divisors (178006228344).

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

84854770056 is a wasteful number, since it uses less digits than its factorization.

84854770056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138019 (or 138012 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 84854770056 in words is "eighty-four billion, eight hundred fifty-four million, seven hundred seventy thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1231 2462 3693 4924 7386 8617 9848 11079 14772 17234 22158 25851 29544 34468 44316 51702 68936 77553 88632 103404 136769 155106 206808 273538 310212 410307 547076 620424 820614 957383 1094152 1230921 1641228 1914766 2461842 2872149 3282456 3829532 4923684 5744298 7659064 8616447 9847368 11488596 17232894 22977192 34465788 68931576 168362639 336725278 505087917 673450556 1010175834 1178538473 1346901112 1515263751 2020351668 2357076946 3030527502 3535615419 4040703336 4714153892 6061055004 7071230838 9428307784 10606846257 12122110008 14142461676 21213692514 28284923352 42427385028 84854770056