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2684877312 = 29313210343
BaseRepresentation
bin1010000000000111…
…1111101000000000
320221010001220021110
42200001333220000
520444312033222
61122230123320
7123351036435
oct24001775000
96833056243
102684877312
1111585a8077
1262b1b0540
1333a320300
141b6817b8c
1510aa9930c
hexa007fa00

2684877312 has 120 divisors (see below), whose sum is σ = 7745959584. Its totient is φ = 826036224.

The previous prime is 2684877281. The next prime is 2684877313. The reversal of 2684877312 is 2137784862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2684877313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254413 + ... + 264755.

Almost surely, 22684877312 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 2684877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872979792).

2684877312 is an abundant number, since it is smaller than the sum of its proper divisors (5061082272).

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

2684877312 is a wasteful number, since it uses less digits than its factorization.

2684877312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10361 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 2684877312 is about 51815.8017596949. The cubic root of 2684877312 is about 1389.8720293484.

The spelling of 2684877312 in words is "two billion, six hundred eighty-four million, eight hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1248 1352 1536 1664 2028 2496 2704 3328 4056 4992 5408 6656 8112 9984 10343 10816 16224 19968 20686 21632 31029 32448 41372 43264 62058 64896 82744 86528 124116 129792 134459 165488 248232 259584 268918 330976 403377 496464 537836 661952 806754 992928 1075672 1323904 1613508 1747967 1985856 2151344 2647808 3227016 3495934 3971712 4302688 5243901 5295616 6454032 6991868 7943424 8605376 10487802 12908064 13983736 15886848 17210752 20975604 25816128 27967472 34421504 41951208 51632256 55934944 68843008 83902416 103264512 111869888 167804832 206529024 223739776 335609664 447479552 671219328 894959104 1342438656 2684877312