Search a number
-
+
84989878272 = 2133213219359
BaseRepresentation
bin100111100100111001…
…0101010000000000000
322010101002110011011100
41033021302222000000
52343024402101042
6103013244014400
76066062021445
oct1171162520000
9263332404140
1084989878272
1133053630522
121457ab31400
138025b5b600
1441837639cc
1523265c624c
hex13c9caa000

84989878272 has 504 divisors, whose sum is σ = 280621130400. Its totient is φ = 24705368064.

The previous prime is 84989878261. The next prime is 84989878313. The reversal of 84989878272 is 27287898948.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 84989878272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236740429 + ... + 236740787.

Almost surely, 284989878272 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 84989878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140310565200).

84989878272 is an abundant number, since it is smaller than the sum of its proper divisors (195631252128).

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

84989878272 is a wasteful number, since it uses less digits than its factorization.

84989878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 396 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 84989878272 in words is "eighty-four billion, nine hundred eighty-nine million, eight hundred seventy-eight thousand, two hundred seventy-two".