Search a number
-
+
84101249295 = 3357227392053
BaseRepresentation
bin100111001010011010…
…0110011100100001111
322001002011100010101000
41032110310303210033
52334214404434140
6102345141351343
76035051552430
oct1162464634417
9261064303330
1084101249295
1132737a65408
1214371408553
137c13a1684b
1440db727487
1522c3593a30
hex1394d3390f

84101249295 has 64 divisors (see below), whose sum is σ = 171625559040. Its totient is φ = 38276820864.

The previous prime is 84101249251. The next prime is 84101249327. The reversal of 84101249295 is 59294210148.

It is a happy number.

It is not a de Polignac number, because 84101249295 - 29 = 84101248783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 84101249295.

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 63 ways as a sum of consecutive naturals, for example, 18489 + ... + 410541.

It is an arithmetic number, because the mean of its divisors is an integer number (2681649360).

Almost surely, 284101249295 is an apocalyptic number.

84101249295 is an abundant number, since it is smaller than the sum of its proper divisors (87524309745).

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

84101249295 is a wasteful number, since it uses less digits than its factorization.

84101249295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392301 (or 392295 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 84101249295 in words is "eighty-four billion, one hundred one million, two hundred forty-nine thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 227 315 681 945 1135 1589 2043 3405 4767 6129 7945 10215 14301 23835 30645 42903 71505 214515 392053 1176159 1960265 2744371 3528477 5880795 8233113 10585431 13721855 17642385 24699339 41165565 52927155 74098017 88996031 123496695 266988093 370490085 444980155 622972217 800964279 1334940465 1868916651 2402892837 3114861085 4004821395 5606749953 9344583255 12014464185 16820249859 28033749765 84101249295