Search a number
-
+
534806525608435 = 510122326336314973
BaseRepresentation
bin111100110011001110101100…
…0111110111000000111110011
32121010121000010022012002201201
41321212131120332320013303
51030044232231023432220
65133234420501512031
7220435332156202603
oct17146353076700763
92533530108162651
10534806525608435
111454511a0368403
124bb95107412617
1319c550677c3ca2
14960cab9a1ac03
1541c68297d2d0a
hex1e66758fb81f3

534806525608435 has 64 divisors (see below), whose sum is σ = 653815162699776. Its totient is φ = 419905924416000.

The previous prime is 534806525608417. The next prime is 534806525608441.

534806525608435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 534806525608435 - 217 = 534806525477363 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107542029609 + ... + 107542034581.

It is an arithmetic number, because the mean of its divisors is an integer number (10215861917184).

Almost surely, 2534806525608435 is an apocalyptic number.

534806525608435 is a deficient number, since it is larger than the sum of its proper divisors (119008637091341).

534806525608435 is a wasteful number, since it uses less digits than its factorization.

534806525608435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196.

The product of its (nonzero) digits is 414720000, while the sum is 64.

The spelling of 534806525608435 in words is "five hundred thirty-four trillion, eight hundred six billion, five hundred twenty-five million, six hundred eight thousand, four hundred thirty-five".

Divisors: 1 5 101 223 263 505 1115 1315 3631 4973 18155 22523 24865 26563 58649 112615 132815 293245 366731 502273 809713 954953 1108979 1307899 1833655 2511365 4048565 4774765 5544895 5923549 6539495 18056963 29617745 81781013 90284815 96450253 112006879 132097799 212954519 291661477 408905065 482251265 560034395 660488995 1064772595 1458307385 1823753263 4026702749 4748981269 9118766315 20133513745 21508406419 23744906345 29457809177 107542032095 147289045885 406696977649 479647108169 1059022822987 2033484888245 2398235540845 5295114114935 106961305121687 534806525608435