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132220123353984 = 2731960293005851
BaseRepresentation
bin11110000100000011100101…
…011111000001001110000000
3122100011010020201210010100010
4132010003211133001032000
5114312243303034311414
61145113030334224520
736564405625641201
oct3604034537011600
9570133221703303
10132220123353984
113914726a730976
12129b518b955140
1358a13c5242a73
1424916b95655a8
1510445374d0959
hex7840e57c1380

132220123353984 has 128 divisors (see below), whose sum is σ = 369755866224000. Its totient is φ = 41746783795200.

The previous prime is 132220123353887. The next prime is 132220123354021. The reversal of 132220123353984 is 489353321022231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1322201233539842 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 42484659 + ... + 45490509.

It is an arithmetic number, because the mean of its divisors is an integer number (2888717704875).

Almost surely, 2132220123353984 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 132220123353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184877933112000).

132220123353984 is an abundant number, since it is smaller than the sum of its proper divisors (237535742870016).

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

132220123353984 is a wasteful number, since it uses less digits than its factorization.

132220123353984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011916 (or 3011904 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 132220123353984 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred twenty-three million, three hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 6029 7296 12058 18087 24116 36174 48232 72348 96464 114551 144696 192928 229102 289392 343653 385856 458204 578784 687306 771712 916408 1157568 1374612 1832816 2315136 2749224 3005851 3665632 5498448 6011702 7331264 9017553 10996896 12023404 14662528 18035106 21993792 24046808 36070212 43987584 48093616 57111169 72140424 96187232 114222338 144280848 171333507 192374464 228444676 288561696 342667014 384748928 456889352 577123392 685334028 913778704 1154246784 1370668056 1827557408 2741336112 3655114816 5482672224 7310229632 10965344448 18122275679 21930688896 36244551358 54366827037 72489102716 108733654074 144978205432 217467308148 289956410864 344323237901 434934616296 579912821728 688646475802 869869232592 1032969713703 1159825643456 1377292951604 1739738465184 2065939427406 2319651286912 2754585903208 3479476930368 4131878854812 5509171806416 6958953860736 8263757709624 11018343612832 16527515419248 22036687225664 33055030838496 44073374451328 66110061676992 132220123353984