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6164668664616 = 2337211476551381
BaseRepresentation
bin101100110110101001011…
…1000101100101100101000
3210211100002100200102202110
41121231102320230230220
51302000220134231431
621040002032002320
71204245144032400
oct131552270545450
923740070612673
106164668664616
111a6746a826420
128369070903a0
13359430908757
1417452b795800
15aa55572d346
hex59b52e2cb28

6164668664616 has 96 divisors (see below), whose sum is σ = 19557668717280. Its totient is φ = 1601212636800.

The previous prime is 6164668664611. The next prime is 6164668664647.

It is a happy number.

6164668664616 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6164668664611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238262755 + ... + 238288626.

It is an arithmetic number, because the mean of its divisors is an integer number (203725715805).

Almost surely, 26164668664616 is an apocalyptic number.

6164668664616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6164668664616 is an abundant number, since it is smaller than the sum of its proper divisors (13393000052664).

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

6164668664616 is a wasteful number, since it uses less digits than its factorization.

6164668664616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476551415 (or 476551404 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 66.

The spelling of 6164668664616 in words is "six trillion, one hundred sixty-four billion, six hundred sixty-eight million, six hundred sixty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936 476551381 953102762 1429654143 1906205524 2859308286 3335859667 3812411048 5242065191 5718616572 6671719334 10007579001 10484130382 11437233144 13343438668 15726195573 20015158002 20968260764 23351017669 26686877336 31452391146 36694456337 40030316004 41936521528 46702035338 62904782292 70053053007 73388912674 80060632008 93404070676 110083369011 125809564584 140106106014 146777825348 186808141352 220166738022 256861194359 280212212028 293555650696 440333476044 513722388718 560424424056 770583583077 880666952088 1027444777436 1541167166154 2054889554872 3082334332308 6164668664616