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84769803216 = 24327241293021
BaseRepresentation
bin100111011110010101…
…1001000101111010000
322002210202100011221100
41032330223020233100
52342102032200331
6102535343024400
76060450303300
oct1167453105720
9262722304840
1084769803216
1132a5038690a
121451929b100
137cbc395997
144162437600
152312103ae6
hex13bcac8bd0

84769803216 has 180 divisors, whose sum is σ = 282702351204. Its totient is φ = 23629132800.

The previous prime is 84769803199. The next prime is 84769803241. The reversal of 84769803216 is 61230896748.

It can be written as a sum of positive squares in 2 ways, for example, as 43923776400 + 40846026816 = 209580^2 + 202104^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142786 + ... + 435806.

Almost surely, 284769803216 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 84769803216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141351175602).

84769803216 is an abundant number, since it is smaller than the sum of its proper divisors (197932547988).

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

84769803216 is a wasteful number, since it uses less digits than its factorization.

84769803216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293090 (or 293074 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 84769803216 in words is "eighty-four billion, seven hundred sixty-nine million, eight hundred three thousand, two hundred sixteen".