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21116423744328 = 233115910861124823
BaseRepresentation
bin1001100110100100011001…
…11011111010101101001000
32202202201011212200221010110
410303102030323322231020
510231432413434304303
6112524430125314320
74306416444203643
oct463221473725510
982681155627113
1021116423744328
116801474777250
1224506077059a0
13ba236887b303
1453007ca7ca5a
15269447631703
hex13348cefab48

21116423744328 has 128 divisors (see below), whose sum is σ = 58572214041600. Its totient is φ = 6289830508800.

The previous prime is 21116423744327. The next prime is 21116423744411. The reversal of 21116423744328 is 82344732461112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21116423744327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169108525 + ... + 169233347.

It is an arithmetic number, because the mean of its divisors is an integer number (457595422200).

Almost surely, 221116423744328 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 21116423744328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29286107020800).

21116423744328 is an abundant number, since it is smaller than the sum of its proper divisors (37455790297272).

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

21116423744328 is a wasteful number, since it uses less digits than its factorization.

21116423744328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135763 (or 135759 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 21116423744328 in words is "twenty-one trillion, one hundred sixteen billion, four hundred twenty-three million, seven hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1416 1947 2596 3894 5192 7788 10861 15576 21722 32583 43444 65166 86888 119471 124823 130332 238942 249646 260664 358413 374469 477884 499292 640799 716826 748938 955768 998584 1281598 1373053 1433652 1497876 1922397 2563196 2746106 2867304 2995752 3844794 4119159 5126392 5492212 7048789 7364557 7689588 8238318 10984424 14097578 14729114 15379176 16476636 21146367 22093671 28195156 29458228 32953272 42292734 44187342 56390312 58916456 81010127 84585468 88374684 162020254 169170936 176749368 243030381 324040508 486060762 648081016 972121524 1355702603 1944243048 2711405206 4067107809 5422810412 8134215618 10845620824 14912728633 16268431236 29825457266 32536862472 44738185899 59650914532 79986453577 89476371798 119301829064 159972907154 178952743596 239959360731 319945814308 357905487192 479918721462 639891628616 879850989347 959837442924 1759701978694 1919674885848 2639552968041 3519403957388 5279105936082 7038807914776 10558211872164 21116423744328