Search a number
-
+
30889869772768 = 2517832832417423
BaseRepresentation
bin1110000011000000110111…
…01101110000011111100000
311001101001011010122222102021
413001200123231300133200
513022044423130212033
6145410335452431224
76335501524556446
oct701403355603740
9131331133588367
1030889869772768
11992a35820a226
12356a7b6a78514
131430b96242b56
1478b1131d0b96
153887b2cc1b2d
hex1c181bb707e0

30889869772768 has 96 divisors (see below), whose sum is σ = 65397855914496. Its totient is φ = 14310519379968.

The previous prime is 30889869772757. The next prime is 30889869772789. The reversal of 30889869772768 is 86727796898803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11569305 + ... + 13986727.

It is an arithmetic number, because the mean of its divisors is an integer number (681227665776).

Almost surely, 230889869772768 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 30889869772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32698927957248).

30889869772768 is an abundant number, since it is smaller than the sum of its proper divisors (34507986141728).

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

30889869772768 is a wasteful number, since it uses less digits than its factorization.

30889869772768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417816 (or 2417808 counting only the distinct ones).

The product of its (nonzero) digits is 24580620288, while the sum is 88.

The spelling of 30889869772768 in words is "thirty trillion, eight hundred eighty-nine billion, eight hundred sixty-nine million, seven hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 83 136 166 272 283 332 544 566 664 1132 1328 1411 2264 2656 2822 4528 4811 5644 9056 9622 11288 19244 22576 23489 38488 45152 46978 76976 93956 153952 187912 375824 399313 751648 798626 1597252 2417423 3194504 4834846 6389008 9669692 12778016 19339384 38678768 41096191 77357536 82192382 164384764 200646109 328769528 401292218 657539056 684130709 802584436 1315078112 1368261418 1605168872 2736522836 3210337744 3410983853 5473045672 6420675488 6821967706 10946091344 11630222053 13643935412 21892182688 23260444106 27287870824 46520888212 54575741648 56782848847 93041776424 109151483296 113565697694 186083552848 227131395388 372167105696 454262790776 908525581552 965308430399 1817051163104 1930616860798 3861233721596 7722467443192 15444934886384 30889869772768