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84555381160 = 23523219992
BaseRepresentation
bin100111010111111100…
…1001011100110101000
322002020210212102011201
41032233321023212220
52341132134144120
6102502203133544
76052234611145
oct1165771134650
9262223772151
1084555381160
11329503433a8
12144795142b4
137c86b2c123
144141b7d3cc
1522ed39b40a
hex13afe4b9a8

84555381160 has 72 divisors (see below), whose sum is σ = 198980509770. Its totient is φ = 32335440192.

The previous prime is 84555381151. The next prime is 84555381191. The reversal of 84555381160 is 6118355548.

It can be written as a sum of positive squares in only one way, i.e., 76099843044 + 8455538116 = 275862^2 + 91954^2 .

It is a super-2 number, since 2×845553811602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 84555381160.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42297841 + ... + 42299839.

Almost surely, 284555381160 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 84555381160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99490254885).

84555381160 is an abundant number, since it is smaller than the sum of its proper divisors (114425128610).

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

84555381160 is an equidigital number, since it uses as much as digits as its factorization.

84555381160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 84555381160 in words is "eighty-four billion, five hundred fifty-five million, three hundred eighty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 1999 2116 2645 3998 4232 5290 7996 9995 10580 15992 19990 21160 39980 45977 79960 91954 183908 229885 367816 459770 919540 1057471 1839080 2114942 3996001 4229884 5287355 7992002 8459768 10574710 15984004 19980005 21149420 31968008 39960010 42298840 79920020 91908023 159840040 183816046 367632092 459540115 735264184 919080230 1838160460 2113884529 3676320920 4227769058 8455538116 10569422645 16911076232 21138845290 42277690580 84555381160