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9719111344 = 2417191880633
BaseRepresentation
bin10010000110100110…
…11101111010110000
3221002100020000022211
421003103131322300
5124401043030334
64244230141504
7462564040405
oct110323357260
927070200284
109719111344
114138204228
121a72ab1894
13bbb751477
14682b262ac
153bd3c6a64
hex2434ddeb0

9719111344 has 40 divisors (see below), whose sum is σ = 20987875440. Its totient is φ = 4332976128.

The previous prime is 9719111317. The next prime is 9719111371. The reversal of 9719111344 is 4431119179.

9719111344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9719111317) and next prime (9719111371).

It is a super-2 number, since 2×97191113442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9719111297 and 9719111306.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 935149 + ... + 945484.

It is an arithmetic number, because the mean of its divisors is an integer number (524696886).

Almost surely, 29719111344 is an apocalyptic number.

It is an amenable number.

9719111344 is an abundant number, since it is smaller than the sum of its proper divisors (11268764096).

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

9719111344 is a wasteful number, since it uses less digits than its factorization.

9719111344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880677 (or 1880671 counting only the distinct ones).

The product of its digits is 27216, while the sum is 40.

The square root of 9719111344 is about 98585.5534244242. The cubic root of 9719111344 is about 2134.0709425519.

The spelling of 9719111344 in words is "nine billion, seven hundred nineteen million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2584 5168 1880633 3761266 7522532 15045064 30090128 31970761 35732027 63941522 71464054 127883044 142928108 255766088 285856216 511532176 571712432 607444459 1214888918 2429777836 4859555672 9719111344