Search a number
-
+
84144851370 = 23258354720593
BaseRepresentation
bin100111001011101101…
…1001000100110101010
322001012012101100011200
41032113123020212222
52334312040220440
6102353340105030
76036121302246
oct1162733104652
9261165340150
1084144851370
113275a636288
1214383b35176
137c1ca71aa8
144103437426
1522c7307c30
hex13976c89aa

84144851370 has 96 divisors (see below), whose sum is σ = 221828023872. Its totient is φ = 22126680576.

The previous prime is 84144851347. The next prime is 84144851393. The reversal of 84144851370 is 7315844148.

84144851370 is a `hidden beast` number, since 84 + 14 + 48 + 513 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84144851347) and next prime (84144851393).

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

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 47 ways as a sum of consecutive naturals, for example, 4075794 + ... + 4096386.

It is an arithmetic number, because the mean of its divisors is an integer number (2310708582).

Almost surely, 284144851370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84144851370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110914011936).

84144851370 is an abundant number, since it is smaller than the sum of its proper divisors (137683172502).

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

84144851370 is a wasteful number, since it uses less digits than its factorization.

84144851370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21236 (or 21233 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 84144851370 in words is "eighty-four billion, one hundred forty-four million, eight hundred fifty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 547 747 830 1094 1245 1494 1641 2490 2735 3282 3735 4923 5470 7470 8205 9846 16410 20593 24615 41186 45401 49230 61779 90802 102965 123558 136203 185337 205930 227005 272406 308895 370674 408609 454010 617790 681015 817218 926685 1362030 1709219 1853370 2043045 3418438 4086090 5127657 8546095 10255314 11264371 15382971 17092190 22528742 25638285 30765942 33793113 51276570 56321855 67586226 76914855 101379339 112643710 153829710 168965565 202758678 337931130 506896695 934942793 1013793390 1869885586 2804828379 4674713965 5609656758 8414485137 9349427930 14024141895 16828970274 28048283790 42072425685 84144851370