Search a number
-
+
17421642700059 = 31319727154320959
BaseRepresentation
bin1111110110000100101011…
…0100110001010100011011
32021200111022020022200022010
43331201022310301110123
54240414011012400214
6101015220413001003
73445446355414443
oct375411264612433
967614266280263
1017421642700059
115607528139634
121b54520a83163
13994b13c03380
144432d7a5b123
1520329c0dc659
hexfd84ad3151b

17421642700059 has 64 divisors (see below), whose sum is σ = 26386876006400. Its totient is φ = 10135719361152.

The previous prime is 17421642700051. The next prime is 17421642700067. The reversal of 17421642700059 is 95000724612471.

It is an interprime number because it is at equal distance from previous prime (17421642700051) and next prime (17421642700067).

It is not a de Polignac number, because 17421642700059 - 23 = 17421642700051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 17421642699990 and 17421642700017.

It is not an unprimeable number, because it can be changed into a prime (17421642700051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 831214422 + ... + 831235380.

It is an arithmetic number, because the mean of its divisors is an integer number (412294937600).

Almost surely, 217421642700059 is an apocalyptic number.

17421642700059 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

17421642700059 is a deficient number, since it is larger than the sum of its proper divisors (8965233306341).

17421642700059 is a wasteful number, since it uses less digits than its factorization.

17421642700059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23264.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 17421642700059 in words is "seventeen trillion, four hundred twenty-one billion, six hundred forty-two million, seven hundred thousand, fifty-nine".

Divisors: 1 3 13 19 39 57 247 727 741 1543 2181 4629 9451 13813 20059 20959 28353 29317 41439 60177 62877 87951 179569 272467 381121 398221 538707 817401 1121761 1143363 1194663 3365283 5176873 14582893 15237193 15530619 21313459 32339737 43748679 45711579 63940377 97019211 198083509 277074967 289506667 420416581 594250527 614455003 831224901 868520001 1261249743 1843365009 3763586671 7987915039 11290760013 23510988799 23963745117 70532966397 305642854387 446708787181 916928563161 1340126361543 5807214233353 17421642700059