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9701044768 = 253141238519
BaseRepresentation
bin10010000100011101…
…00011001000100000
3221001002020010122101
421002032203020200
5124331431413033
64242343020144
7462254343232
oct110216431040
927032203571
109701044768
114128a94578
121a68a3a654
13bb7a9709c
14680582252
153bba0897d
hex2423a3220

9701044768 has 48 divisors (see below), whose sum is σ = 20195965440. Its totient is φ = 4579545600.

The previous prime is 9701044751. The next prime is 9701044777. The reversal of 9701044768 is 8674401079.

It is a super-2 number, since 2×97010447682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 78588 + ... + 159931.

It is an arithmetic number, because the mean of its divisors is an integer number (420749280).

Almost surely, 29701044768 is an apocalyptic number.

It is an amenable number.

9701044768 is an abundant number, since it is smaller than the sum of its proper divisors (10494920672).

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

9701044768 is a wasteful number, since it uses less digits than its factorization.

9701044768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238601 (or 238593 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 9701044768 is about 98493.8818810590. The cubic root of 9701044768 is about 2132.7478013708.

It can be divided in two parts, 97010 and 44768, that added together give a triangular number (141778 = T532).

The spelling of 9701044768 in words is "nine billion, seven hundred one million, forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 656 992 1271 1312 2542 5084 10168 20336 40672 238519 477038 954076 1908152 3816304 7394089 7632608 9779279 14788178 19558558 29576356 39117116 59152712 78234232 118305424 156468464 236610848 303157649 312936928 606315298 1212630596 2425261192 4850522384 9701044768