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12382083769572 = 223211269886713109
BaseRepresentation
bin1011010000101110110110…
…1101000110010011100100
31121211201022201002200000100
42310023231231012103210
53110332001421111242
642200130055144100
72415401402324406
oct264135555062344
947751281080010
1012382083769572
113a442375400a0
12147b892975030
136ba81927a73a
1430b42051cb76
151671469ab54c
hexb42edb464e4

12382083769572 has 144 divisors (see below), whose sum is σ = 34277945083200. Its totient is φ = 3737491380480.

The previous prime is 12382083769571. The next prime is 12382083769591. The reversal of 12382083769572 is 27596738028321.

12382083769572 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 20 + 8 + 37 + 6 + 9 + 572 = 666.

12382083769572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12382083769571) 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, 944541754 + ... + 944554862.

It is an arithmetic number, because the mean of its divisors is an integer number (238041285300).

Almost surely, 212382083769572 is an apocalyptic number.

12382083769572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12382083769572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17138972541600).

12382083769572 is an abundant number, since it is smaller than the sum of its proper divisors (21895861313628).

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

12382083769572 is a wasteful number, since it uses less digits than its factorization.

12382083769572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22266 (or 22261 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 12382083769572 in words is "twelve trillion, three hundred eighty-two billion, eighty-three million, seven hundred sixty-nine thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 269 396 538 807 1076 1614 2421 2959 3228 4842 5918 8867 8877 9684 11836 13109 17734 17754 26218 26601 26631 35468 35508 39327 52436 53202 53262 78654 79803 97537 106404 106524 117981 144199 157308 159606 195074 235962 288398 292611 319212 390148 432597 471924 576796 585222 865194 877833 1170444 1297791 1730388 1755666 2385223 2595582 3511332 3526321 4770446 5191164 7052642 7155669 9540892 10578963 14105284 14311338 21157926 21467007 26237453 28622676 31736889 38789531 42315852 42934014 52474906 63473778 77579062 78712359 85868028 104949812 116237503 116368593 126947556 155158124 157424718 232475006 232737186 236137077 314849436 348712509 349105779 464950012 465474372 472274154 697425018 698211558 944548308 1046137527 1278612533 1394850036 1396423116 2092275054 2557225066 3835837599 4184550108 5114450132 7671675198 11507512797 15343350396 23015025594 31267888307 46030051188 62535776614 93803664921 125071553228 187607329842 281410994763 343946771377 375214659684 562821989526 687893542754 1031840314131 1125643979052 1375787085508 2063680628262 3095520942393 4127361256524 6191041884786 12382083769572