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8140565680 = 2451321137097
BaseRepresentation
bin1111001010011011…
…10010110010110000
3210000022220120202121
413211031302302300
5113132441100210
63423440324024
7405505444432
oct74515626260
923008816677
108140565680
1134a8156535
1216b2313614
139c96baa90
14573218652
15329a146da
hex1e5372cb0

8140565680 has 80 divisors (see below), whose sum is σ = 20479876704. Its totient is φ = 2991421440.

The previous prime is 8140565677. The next prime is 8140565711. The reversal of 8140565680 is 865650418.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 200892 + ... + 237988.

Almost surely, 28140565680 is an apocalyptic number.

8140565680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239938352).

8140565680 is an abundant number, since it is smaller than the sum of its proper divisors (12339311024).

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

8140565680 is a wasteful number, since it uses less digits than its factorization.

8140565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37334 (or 37328 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 8140565680 is about 90225.0834302745. The cubic root of 8140565680 is about 2011.6458619923.

The spelling of 8140565680 in words is "eight billion, one hundred forty million, five hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 211 260 422 520 844 1040 1055 1688 2110 2743 3376 4220 5486 8440 10972 13715 16880 21944 27430 37097 43888 54860 74194 109720 148388 185485 219440 296776 370970 482261 593552 741940 964522 1483880 1929044 2411305 2967760 3858088 4822610 7716176 7827467 9645220 15654934 19290440 31309868 38580880 39137335 62619736 78274670 101757071 125239472 156549340 203514142 313098680 407028284 508785355 626197360 814056568 1017570710 1628113136 2035141420 4070282840 8140565680