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6151216122216 = 23321169611115743
BaseRepresentation
bin101100110000011000100…
…0011010100100101101000
3210210001100211100110211100
41121200301003110211220
51301240142311402331
621025455113201400
71203260604226224
oct131406103244550
923701324313740
106151216122216
111a61797159190
12834191a00260
13358098859aa9
14173a12ca9784
15aa0196d9ae6
hex598310d4968

6151216122216 has 96 divisors (see below), whose sum is σ = 18176674763520. Its totient is φ = 1863735436800.

The previous prime is 6151216122167. The next prime is 6151216122217. The reversal of 6151216122216 is 6122216121516.

6151216122216 is a `hidden beast` number, since 6 + 1 + 5 + 1 + 2 + 1 + 612 + 22 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6151216122217) 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 23 ways as a sum of consecutive naturals, for example, 4955241 + ... + 6070983.

It is an arithmetic number, because the mean of its divisors is an integer number (189340362120).

Almost surely, 26151216122216 is an apocalyptic number.

6151216122216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6151216122216 is an abundant number, since it is smaller than the sum of its proper divisors (12025458641304).

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

6151216122216 is a wasteful number, since it uses less digits than its factorization.

6151216122216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122727 (or 1122720 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 6151216122216 in words is "six trillion, one hundred fifty-one billion, two hundred sixteen million, one hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 6961 13922 20883 27844 41766 55688 62649 76571 83532 125298 153142 167064 229713 250596 306284 459426 501192 612568 689139 918852 1115743 1378278 1837704 2231486 2756556 3347229 4462972 5513112 6694458 8925944 10041687 12273173 13388916 20083374 24546346 26777832 36819519 40166748 49092692 73639038 80333496 98185384 110458557 147278076 220917114 294556152 441834228 883668456 7766687023 15533374046 23300061069 31066748092 46600122138 62133496184 69900183207 85433557253 93200244276 139800366414 170867114506 186400488552 256300671759 279600732828 341734229012 512601343518 559201465656 683468458024 768902015277 1025202687036 1537804030554 2050405374072 3075608061108 6151216122216