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10082161695 = 35171032691427
BaseRepresentation
bin10010110001111000…
…11001010000011111
3222000122100212210010
421120330121100133
5131122013133240
64344235414303
7504562650264
oct113074312037
928018325703
1010082161695
114304132341
121b545b4393
13c48a26768
146b902d26b
153e01dc280
hex258f1941f

10082161695 has 64 divisors (see below), whose sum is σ = 17322439680. Its totient is φ = 4989585408.

The previous prime is 10082161681. The next prime is 10082161697. The reversal of 10082161695 is 59616128001.

10082161695 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10082161695 - 27 = 10082161567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082161697) 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 63 ways as a sum of consecutive naturals, for example, 7064572 + ... + 7065998.

It is an arithmetic number, because the mean of its divisors is an integer number (270663120).

Almost surely, 210082161695 is an apocalyptic number.

10082161695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10082161695 is a deficient number, since it is larger than the sum of its proper divisors (7240277985).

10082161695 is a wasteful number, since it uses less digits than its factorization.

10082161695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824.

The product of its (nonzero) digits is 25920, while the sum is 39.

Adding to 10082161695 its reverse (59616128001), we get a palindrome (69698289696).

The spelling of 10082161695 in words is "ten billion, eighty-two million, one hundred sixty-one thousand, six hundred ninety-five".

Divisors: 1 3 5 15 17 51 85 103 255 269 309 515 807 1345 1427 1545 1751 4035 4281 4573 5253 7135 8755 13719 21405 22865 24259 26265 27707 68595 72777 83121 121295 138535 146981 363885 383863 415605 440943 471019 734905 1151589 1413057 1919315 2204715 2355095 2498677 5757945 6525671 7065285 7496031 12493385 19577013 32628355 37480155 39537889 97885065 118613667 197689445 593068335 672144113 2016432339 3360720565 10082161695