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9909672680 = 2351943130253
BaseRepresentation
bin10010011101010100…
…11001101011101000
3221120121210112100002
421032222121223220
5130243334011210
64315154402132
7500366553665
oct111652315350
927517715302
109909672680
11422582a836
121b06890348
13c1c08255b
146a016ca6c
153ceeb94a5
hex24ea99ae8

9909672680 has 64 divisors (see below), whose sum is σ = 23525510400. Its totient is φ = 3746407680.

The previous prime is 9909672611. The next prime is 9909672683. The reversal of 9909672680 is 862769099.

9909672680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99096726802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9909672683) 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 15 ways as a sum of consecutive naturals, for example, 312434 + ... + 342686.

It is an arithmetic number, because the mean of its divisors is an integer number (367586100).

Almost surely, 29909672680 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 9909672680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762755200).

9909672680 is an abundant number, since it is smaller than the sum of its proper divisors (13615837720).

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

9909672680 is a wasteful number, since it uses less digits than its factorization.

9909672680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30714 (or 30710 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 56.

The square root of 9909672680 is about 99547.3388895956. The cubic root of 9909672680 is about 2147.9282498311.

The spelling of 9909672680 in words is "nine billion, nine hundred nine million, six hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 431 760 862 1724 2155 3448 4310 8189 8620 16378 17240 30253 32756 40945 60506 65512 81890 121012 151265 163780 242024 302530 327560 574807 605060 1149614 1210120 2299228 2874035 4598456 5748070 11496140 13039043 22992280 26078086 52156172 65195215 104312344 130390430 247741817 260780860 495483634 521561720 990967268 1238709085 1981934536 2477418170 4954836340 9909672680