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6674247540 = 22325307120779
BaseRepresentation
bin1100011011101000…
…01110111101110100
3122020010202220102100
412031310032331310
5102132101410130
63022140142100
7324252111432
oct61564167564
918203686370
106674247540
112915490a64
121363237930
1382498c5cc
144745a1d52
15290e1ec60
hex18dd0ef74

6674247540 has 72 divisors (see below), whose sum is σ = 20311331040. Its totient is φ = 1773987264.

The previous prime is 6674247527. The next prime is 6674247551. The reversal of 6674247540 is 457424766.

6674247540 is a `hidden beast` number, since 6 + 67 + 4 + 2 + 47 + 540 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 5130 + ... + 115649.

It is an arithmetic number, because the mean of its divisors is an integer number (282101820).

Almost surely, 26674247540 is an apocalyptic number.

6674247540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6674247540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155665520).

6674247540 is an abundant number, since it is smaller than the sum of its proper divisors (13637083500).

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

6674247540 is a wasteful number, since it uses less digits than its factorization.

6674247540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121101 (or 121096 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 6674247540 is about 81696.0680816403. The cubic root of 6674247540 is about 1882.7851750214.

The spelling of 6674247540 in words is "six billion, six hundred seventy-four million, two hundred forty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 9210 11052 13815 18420 27630 55260 120779 241558 362337 483116 603895 724674 1087011 1207790 1449348 1811685 2174022 2415580 3623370 4348044 5435055 7246740 10870110 21740220 37079153 74158306 111237459 148316612 185395765 222474918 333712377 370791530 444949836 556187295 667424754 741583060 1112374590 1334849508 1668561885 2224749180 3337123770 6674247540