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12271016664 = 23323733831193
BaseRepresentation
bin10110110110110100…
…01101101011011000
31011200012002020022200
423123122031223120
5200112340013124
65345350250200
7613041630534
oct133332155330
934605066280
1012271016664
11522773a495
122465656960
13120735530a
14845a08bc4
154bc456bc9
hex2db68dad8

12271016664 has 96 divisors (see below), whose sum is σ = 33438113280. Its totient is φ = 4065311232.

The previous prime is 12271016651. The next prime is 12271016671. The reversal of 12271016664 is 46661017221.

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

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 23 ways as a sum of consecutive naturals, for example, 10285252 + ... + 10286444.

It is an arithmetic number, because the mean of its divisors is an integer number (348313680).

Almost surely, 212271016664 is an apocalyptic number.

It is an amenable number.

12271016664 is an abundant number, since it is smaller than the sum of its proper divisors (21167096616).

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

12271016664 is a wasteful number, since it uses less digits than its factorization.

12271016664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12271016664 in words is "twelve billion, two hundred seventy-one million, sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 373 383 746 766 1119 1149 1193 1492 1532 2238 2298 2386 2984 3064 3357 3447 3579 4476 4596 4772 6714 6894 7158 8952 9192 9544 10737 13428 13788 14316 21474 26856 27576 28632 42948 85896 142859 285718 428577 444989 456919 571436 857154 889978 913838 1142872 1285731 1334967 1370757 1714308 1779956 1827676 2571462 2669934 2741514 3428616 3559912 3655352 4004901 4112271 5142924 5339868 5483028 8009802 8224542 10285848 10679736 10966056 16019604 16449084 32039208 32898168 170430787 340861574 511292361 681723148 1022584722 1363446296 1533877083 2045169444 3067754166 4090338888 6135508332 12271016664