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6120660216 = 2331125579067
BaseRepresentation
bin1011011001101000…
…11101110011111000
3120210120002202101010
411230310131303320
5100013342111331
62451202553520
7304450516266
oct55464356370
916716082333
106120660216
112660a53680
1212299688a0
13767094348
14420c5b436
1525c51de46
hex16cd1dcf8

6120660216 has 64 divisors (see below), whose sum is σ = 16701079680. Its totient is φ = 1853815680.

The previous prime is 6120660197. The next prime is 6120660241.

6120660216 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670515 + ... + 679581.

It is an arithmetic number, because the mean of its divisors is an integer number (260954370).

Almost surely, 26120660216 is an apocalyptic number.

6120660216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6120660216 is an abundant number, since it is smaller than the sum of its proper divisors (10580419464).

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

6120660216 is a wasteful number, since it uses less digits than its factorization.

6120660216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6120660216 is about 78234.6484366102. The cubic root of 6120660216 is about 1829.2206278412.

The spelling of 6120660216 in words is "six billion, one hundred twenty million, six hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2557 5114 7671 9067 10228 15342 18134 20456 27201 28127 30684 36268 54402 56254 61368 72536 84381 99737 108804 112508 168762 199474 217608 225016 299211 337524 398948 598422 675048 797896 1196844 2393688 23184319 46368638 69552957 92737276 139105914 185474552 255027509 278211828 510055018 556423656 765082527 1020110036 1530165054 2040220072 3060330108 6120660216