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220127949912 = 233132172187793
BaseRepresentation
bin1100110100000010100…
…1011111010001011000
3210001012002120111000210
43031000221133101120
512101310223344122
6245043025531120
721621655462503
oct3150051372130
9701162514023
10220127949912
11853a0541952
12367b44a3aa0
13179b1375400
14a92339213a
155ad556640c
hex3340a5f458

220127949912 has 144 divisors (see below), whose sum is σ = 633027282840. Its totient is φ = 63747121152.

The previous prime is 220127949901. The next prime is 220127949919. The reversal of 220127949912 is 219949721022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220127949919) 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 35 ways as a sum of consecutive naturals, for example, 1078288 + ... + 1266080.

Almost surely, 2220127949912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220127949912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316513641420).

220127949912 is an abundant number, since it is smaller than the sum of its proper divisors (412899332928).

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

220127949912 is a wasteful number, since it uses less digits than its factorization.

220127949912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187862 (or 187828 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 220127949912 in words is "two hundred twenty billion, one hundred twenty-seven million, nine hundred forty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 169 204 221 289 312 338 408 442 507 578 663 676 867 884 1014 1156 1326 1352 1734 1768 2028 2312 2652 2873 3468 3757 4056 5304 5746 6936 7514 8619 11271 11492 15028 17238 22542 22984 30056 34476 45084 48841 68952 90168 97682 146523 187793 195364 293046 375586 390728 563379 586092 751172 1126758 1172184 1502344 2253516 2441309 3192481 4507032 4882618 6384962 7323927 9577443 9765236 12769924 14647854 19154886 19530472 25539848 29295708 31737017 38309772 41502253 54272177 58591416 63474034 76619544 83004506 95211051 108544354 124506759 126948068 162816531 166009012 190422102 217088708 249013518 253896136 325633062 332018024 380844204 434177416 498027036 539529289 651266124 705538301 761688408 996054072 1079058578 1302532248 1411076602 1618587867 2116614903 2158117156 2822153204 3237175734 4233229806 4316234312 5644306408 6474351468 8466459612 9171997913 12948702936 16932919224 18343995826 27515993739 36687991652 55031987478 73375983304 110063974956 220127949912