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6992125245 = 325717289863
BaseRepresentation
bin1101000001100001…
…10101110100111101
3200001021220202122200
412200300311310331
5103304441001440
63113453302113
7335162040540
oct64060656475
920037822580
106992125245
112a68966206
121431794939
138757a9821
144a48aa857
152adcb0c30
hex1a0c35d3d

6992125245 has 144 divisors (see below), whose sum is σ = 14896327680. Its totient is φ = 2971127808.

The previous prime is 6992125181. The next prime is 6992125289. The reversal of 6992125245 is 5425212996.

It is not a de Polignac number, because 6992125245 - 26 = 6992125181 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 6992125245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8101684 + ... + 8102546.

It is an arithmetic number, because the mean of its divisors is an integer number (103446720).

Almost surely, 26992125245 is an apocalyptic number.

It is an amenable number.

6992125245 is an abundant number, since it is smaller than the sum of its proper divisors (7904202435).

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

6992125245 is a wasteful number, since it uses less digits than its factorization.

6992125245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 984 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 6992125245 is about 83618.9287482206. The cubic root of 6992125245 is about 1912.2135867389.

The spelling of 6992125245 in words is "six billion, nine hundred ninety-two million, one hundred twenty-five thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 89 105 119 153 255 267 289 315 357 445 595 623 765 801 863 867 1071 1335 1445 1513 1785 1869 2023 2589 2601 3115 4005 4315 4335 4539 5355 5607 6041 6069 7565 7767 9345 10115 10591 12945 13005 13617 14671 18123 18207 22695 25721 28035 30205 30345 31773 38835 44013 52955 54369 68085 73355 76807 77163 90615 91035 95319 102697 128605 132039 158865 180047 220065 230421 231489 249407 271845 308091 384035 385815 476595 513485 537649 540141 660195 691263 748221 900235 924273 1152105 1157445 1247035 1305719 1540455 1612947 1620423 1745849 2244663 2688245 2700705 3456315 3741105 3917157 4621365 4838841 5237547 6528595 8064735 8102115 8729245 9140033 11223315 11751471 15712641 19585785 22197223 24194205 26187735 27420099 45700165 58757355 66591669 78563205 82260297 110986115 137100495 155380561 199775007 332958345 411301485 466141683 776902805 998875035 1398425049 2330708415 6992125245