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6813381432 = 23311139672053
BaseRepresentation
bin1100101100001101…
…11111001100111000
3122120211120122020110
412112012333030320
5102423211201212
63044030224320
7330561533544
oct62606771470
918524518213
106813381432
112986a81350
1213a19550a0
13847755660
14488c5ca24
1529d254a3c
hex1961bf338

6813381432 has 128 divisors (see below), whose sum is σ = 20041781760. Its totient is φ = 1902942720.

The previous prime is 6813381427. The next prime is 6813381457. The reversal of 6813381432 is 2341833186.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3317718 + ... + 3319770.

It is an arithmetic number, because the mean of its divisors is an integer number (156576420).

Almost surely, 26813381432 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 6813381432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10020890880).

6813381432 is an abundant number, since it is smaller than the sum of its proper divisors (13228400328).

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

6813381432 is a wasteful number, since it uses less digits than its factorization.

6813381432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3049 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 6813381432 is about 82543.2094844876. The cubic root of 6813381432 is about 1895.7783861221.

The spelling of 6813381432 in words is "six billion, eight hundred thirteen million, three hundred eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 967 1144 1716 1934 2053 2901 3432 3868 4106 5802 6159 7736 8212 10637 11604 12318 12571 16424 21274 22583 23208 24636 25142 26689 31911 37713 42548 45166 49272 50284 53378 63822 67749 75426 80067 85096 90332 100568 106756 127644 135498 138281 150852 160134 180664 213512 255288 270996 276562 293579 301704 320268 414843 541992 553124 587158 640536 829686 880737 1106248 1174316 1659372 1761474 1985251 2348632 3318744 3522948 3970502 5955753 7045896 7941004 11911506 15882008 21837761 23823012 25808263 43675522 47646024 51616526 65513283 77424789 87351044 103233052 131026566 154849578 174702088 206466104 262053132 283890893 309699156 524106264 567781786 619398312 851672679 1135563572 1703345358 2271127144 3406690716 6813381432