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21288798732492 = 223237157119385331
BaseRepresentation
bin1001101011100101011110…
…10010010100000011001100
32210101012002222122121112100
410311302233102110003030
510242243424433414432
6113135534503435100
74325031164343564
oct465625722240314
983335088577470
1021288798732492
11686858a983155
122479ab3755a90
13bb56a9874625
14538551d03da4
1526db8571207c
hex135caf4940cc

21288798732492 has 144 divisors (see below), whose sum is σ = 55667065420512. Its totient is φ = 6854666757120.

The previous prime is 21288798732491. The next prime is 21288798732521. The reversal of 21288798732492 is 29423789788212.

21288798732492 is a `hidden beast` number, since 2 + 1 + 28 + 8 + 7 + 9 + 87 + 32 + 492 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21288798732492.

It is not an unprimeable number, because it can be changed into a prime (21288798732491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249442267 + ... + 249527597.

It is an arithmetic number, because the mean of its divisors is an integer number (386576843198).

Almost surely, 221288798732492 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 21288798732492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27833532710256).

21288798732492 is an abundant number, since it is smaller than the sum of its proper divisors (34378266688020).

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

21288798732492 is a wasteful number, since it uses less digits than its factorization.

21288798732492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86728 (or 86723 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 21288798732492 in words is "twenty-one trillion, two hundred eighty-eight billion, seven hundred ninety-eight million, seven hundred thirty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 157 222 314 333 444 471 628 666 942 1193 1332 1413 1884 2386 2826 3579 4772 5652 5809 7158 10737 11618 14316 17427 21474 23236 34854 42948 44141 52281 69708 85331 88282 104562 132423 170662 176564 187301 209124 255993 264846 341324 374602 397269 511986 529692 561903 749204 767979 794538 1023972 1123806 1535958 1589076 1685709 2247612 3071916 3157247 3371418 6314494 6742836 6930137 9471741 12628988 13396967 13860274 18943482 20790411 26793934 27720548 28415223 37886964 40190901 41580822 53587868 56830446 62371233 80381802 83161644 101799883 113660892 120572703 124742466 160763604 203599766 241145406 249484932 305399649 407199532 482290812 495687779 610799298 916198947 991375558 1221598596 1487063337 1832397894 1982751116 2974126674 3664795788 3766595671 4461190011 5948253348 7533191342 8922380022 11299787013 15066382684 15982581631 17844760044 22599574026 31965163262 33899361039 45199148052 47947744893 63930326524 67798722078 95895489786 135597444156 143843234679 191790979572 287686469358 575372938716 591355520347 1182711040694 1774066561041 2365422081388 3548133122082 5322199683123 7096266244164 10644399366246 21288798732492