Search a number
-
+
97809319008 = 2532665351047
BaseRepresentation
bin101101100010111100…
…0111100010001100000
3100100110111111012212200
41123011320330101200
53100303141202013
6112533305053200
710031543331312
oct1330570742140
9310414435780
1097809319008
11385318a1045
1216b58187200
1392b99c19bb
144a3c12b7b2
152826c5de73
hex16c5e3c460

97809319008 has 72 divisors (see below), whose sum is σ = 278192508048. Its totient is φ = 32597567232.

The previous prime is 97809318979. The next prime is 97809319009. The reversal of 97809319008 is 80091390879.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97809319009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1890541 + ... + 1941587.

It is an arithmetic number, because the mean of its divisors is an integer number (3863784834).

Almost surely, 297809319008 is an apocalyptic number.

It is an amenable number.

97809319008 is an abundant number, since it is smaller than the sum of its proper divisors (180383189040).

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

97809319008 is a wasteful number, since it uses less digits than its factorization.

97809319008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57716 (or 57705 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 97809319008 in words is "ninety-seven billion, eight hundred nine million, three hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6653 13306 19959 26612 39918 51047 53224 59877 79836 102094 106448 119754 153141 159672 204188 212896 239508 306282 319344 408376 459423 479016 612564 638688 816752 918846 958032 1225128 1633504 1837692 1916064 2450256 3675384 4900512 7350768 14701536 339615691 679231382 1018847073 1358462764 2037694146 2716925528 3056541219 4075388292 5433851056 6113082438 8150776584 10867702112 12226164876 16301553168 24452329752 32603106336 48904659504 97809319008