Search a number
-
+
16852063380 = 2235472532399
BaseRepresentation
bin11111011000111011…
…00001010010010100
31121111110010112000120
433230131201102110
5234003112012010
611424114111540
71134416114055
oct175435412224
947443115016
1016852063380
117168606709
12332387b5b0
131787467749
14b5c1b072c
15689703e70
hex3ec761494

16852063380 has 144 divisors (see below), whose sum is σ = 49141209600. Its totient is φ = 4313484032.

The previous prime is 16852063369. The next prime is 16852063391. The reversal of 16852063380 is 8336025861.

16852063380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16852063369) and next prime (16852063391).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7023421 + ... + 7025819.

It is an arithmetic number, because the mean of its divisors is an integer number (341258400).

Almost surely, 216852063380 is an apocalyptic number.

16852063380 is a gapful number since it is divisible by the number (10) 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 16852063380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570604800).

16852063380 is an abundant number, since it is smaller than the sum of its proper divisors (32289146220).

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

16852063380 is a wasteful number, since it uses less digits than its factorization.

16852063380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 16852063380 in words is "sixteen billion, eight hundred fifty-two million, sixty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 53 60 94 106 141 159 188 212 235 265 282 318 470 530 564 636 705 795 940 1060 1410 1590 2209 2399 2491 2820 3180 4418 4798 4982 6627 7197 7473 8836 9596 9964 11045 11995 12455 13254 14394 14946 22090 23990 24910 26508 28788 29892 33135 35985 37365 44180 47980 49820 66270 71970 74730 112753 117077 127147 132540 143940 149460 225506 234154 254294 338259 351231 381441 451012 468308 508588 563765 585385 635735 676518 702462 762882 1127530 1170770 1271470 1353036 1404924 1525764 1691295 1756155 1907205 2255060 2341540 2542940 3382590 3512310 3814410 5299391 5975909 6765180 7024620 7628820 10598782 11951818 15898173 17927727 21197564 23903636 26496955 29879545 31796346 35855454 52993910 59759090 63592692 71710908 79490865 89638635 105987820 119518180 158981730 179277270 280867723 317963460 358554540 561735446 842603169 1123470892 1404338615 1685206338 2808677230 3370412676 4213015845 5617354460 8426031690 16852063380