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4221761412 = 22311233121447
BaseRepresentation
bin1111101110100010…
…1111011110000100
3101220012222200220210
43323220233132010
532121232331122
61534530555420
7206422244211
oct37350573604
911805880823
104221761412
11187708a920
12999a38b70
13523857a9b
142c099cb08
1519a97c40c
hexfba2f784

4221761412 has 144 divisors (see below), whose sum is σ = 11594935296. Its totient is φ = 1183406400.

The previous prime is 4221761399. The next prime is 4221761441. The reversal of 4221761412 is 2141671224.

It is a self number, because there is not a number n which added to its sum of digits gives 4221761412.

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 47 ways as a sum of consecutive naturals, for example, 2916873 + ... + 2918319.

It is an arithmetic number, because the mean of its divisors is an integer number (80520384).

Almost surely, 24221761412 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 4221761412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797467648).

4221761412 is an abundant number, since it is smaller than the sum of its proper divisors (7373173884).

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

4221761412 is a wasteful number, since it uses less digits than its factorization.

4221761412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1517 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 4221761412 is about 64975.0830087965. The cubic root of 4221761412 is about 1616.2103936644.

The spelling of 4221761412 in words is "four billion, two hundred twenty-one million, seven hundred sixty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 124 132 138 186 253 276 341 372 506 682 713 759 961 1012 1023 1364 1426 1447 1518 1922 2046 2139 2852 2883 2894 3036 3844 4092 4278 4341 5766 5788 7843 8556 8682 10571 11532 15686 15917 17364 21142 22103 23529 31372 31713 31834 33281 42284 44206 44857 47058 47751 63426 63668 66309 66562 88412 89714 94116 95502 99843 126852 132618 133124 134571 179428 191004 199686 243133 265236 269142 366091 399372 486266 493427 538284 729399 732182 972532 986854 1031711 1098273 1390567 1458798 1464364 1480281 1973708 2063422 2196546 2781134 2917596 2960562 3095133 4126844 4171701 4393092 5562268 5921124 6190266 8343402 11348821 12380532 15296237 16686804 22697642 30592474 31983041 34046463 45395284 45888711 61184948 63966082 68092926 91777422 95949123 127932164 136185852 183554844 191898246 351813451 383796492 703626902 1055440353 1407253804 2110880706 4221761412