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7112392704 = 215338039
BaseRepresentation
bin1101001111110111…
…01000000000000000
3200100200012222121000
412213323220000000
5104031233031304
63133431132000
7341152224534
oct64773500000
920320188530
107112392704
11301a83a9aa
121465b14000
138946983c1
144b6855bc4
152b961a939
hex1a7ee8000

7112392704 has 128 divisors (see below), whose sum is σ = 21076056000. Its totient is φ = 2370502656.

The previous prime is 7112392657. The next prime is 7112392739. The reversal of 7112392704 is 4072932117.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×71123927042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 880717 + ... + 888755.

Almost surely, 27112392704 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 7112392704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538028000).

7112392704 is an abundant number, since it is smaller than the sum of its proper divisors (13963663296).

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

7112392704 is an frugal number, since it uses more digits than its factorization.

7112392704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7112392704 is about 84335.0028398648. The cubic root of 7112392704 is about 1923.1149436868.

The spelling of 7112392704 in words is "seven billion, one hundred twelve million, three hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8039 8192 9216 12288 13824 16078 16384 18432 24117 24576 27648 32156 32768 36864 48234 49152 55296 64312 72351 73728 96468 98304 110592 128624 144702 147456 192936 217053 221184 257248 289404 294912 385872 434106 442368 514496 578808 771744 868212 884736 1028992 1157616 1543488 1736424 2057984 2315232 3086976 3472848 4115968 4630464 6173952 6945696 8231936 9260928 12347904 13891392 16463872 18521856 24695808 27782784 32927744 37043712 49391616 55565568 65855488 74087424 98783232 111131136 131710976 148174848 197566464 222262272 263421952 296349696 395132928 444524544 592699392 790265856 889049088 1185398784 1778098176 2370797568 3556196352 7112392704