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9973444021776 = 243289229572
BaseRepresentation
bin1001000100100001111110…
…0101101000111000010000
31022022110012110110210011100
42101020133211220320100
52301401103132144101
633113423102144400
72046362145301254
oct221103745507020
938273173423140
109973444021776
1131a5794163584
121150b06282100
13574651460541
14266a08270264
15124673869e86
hex9121f968e10

9973444021776 has 135 divisors (see below), whose sum is σ = 28238480363431. Its totient is φ = 3286015974912.

The previous prime is 9973444021757. The next prime is 9973444021787. The reversal of 9973444021776 is 6771204443799.

The square root of 9973444021776 is 3158076.

It is a perfect power (a square), and thus also a powerful number.

9973444021776 is a `hidden beast` number, since 9 + 9 + 7 + 344 + 4 + 0 + 217 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3859574576400 + 6113869445376 = 1964580^2 + 2472624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3372823690 + ... + 3372826646.

Almost surely, 29973444021776 is an apocalyptic number.

9973444021776 is the 3158076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9973444021776

9973444021776 is an abundant number, since it is smaller than the sum of its proper divisors (18265036341655).

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

9973444021776 is an frugal number, since it uses more digits than its factorization.

9973444021776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 9973444021776 in words is "nine trillion, nine hundred seventy-three billion, four hundred forty-four million, twenty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 2957 3204 4272 5914 6408 7921 8871 11828 12816 15842 17742 23656 23763 26613 31684 35484 47312 47526 53226 63368 70968 71289 95052 106452 126736 141936 142578 190104 212904 263173 285156 380208 425808 526346 570312 789519 1052692 1140624 1579038 2105384 2368557 3158076 4210768 4737114 6316152 8743849 9474228 12632304 17487698 18948456 23422397 26231547 34975396 37896912 46844794 52463094 69950792 70267191 78694641 93689588 104926188 139901584 140534382 157389282 187379176 209852376 210801573 281068764 314778564 374758352 419704752 421603146 562137528 629557128 778202561 843206292 1124275056 1259114256 1556405122 1686412584 2334607683 3112810244 3372825168 4669215366 6225620488 7003823049 9338430732 12451240976 14007646098 18676861464 28015292196 37353722928 56030584392 69260027929 112061168784 138520055858 207780083787 277040111716 415560167574 554080223432 623340251361 831120335148 1108160446864 1246680502722 1662240670296 2493361005444 3324481340592 4986722010888 9973444021776