Search a number
-
+
2381789081664 = 26331917216493
BaseRepresentation
bin100010101010001101101…
…100010011000001000000
322102200210222100201101000
4202222031230103001000
5303010401001103124
65022102342012000
7334035645103506
oct42521554230100
98380728321330
102381789081664
11839124930753
12325734417000
131437a9064295
14833ca200676
1541e50c586c9
hex22a8db13040

2381789081664 has 112 divisors (see below), whose sum is σ = 7038679587840. Its totient is φ = 789772884480.

The previous prime is 2381789081663. The next prime is 2381789081669. The reversal of 2381789081664 is 4661809871832.

2381789081664 is a `hidden beast` number, since 2 + 381 + 7 + 8 + 90 + 8 + 166 + 4 = 666.

It is a super-2 number, since 2×23817890816642 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2381789081663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3278199 + ... + 3938294.

Almost surely, 22381789081664 is an apocalyptic number.

2381789081664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2381789081664 is an abundant number, since it is smaller than the sum of its proper divisors (4656890506176).

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

2381789081664 is a wasteful number, since it uses less digits than its factorization.

2381789081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216705 (or 7216689 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 2381789081664 in words is "two trillion, three hundred eighty-one billion, seven hundred eighty-nine million, eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 191 192 216 288 382 432 573 576 764 864 1146 1528 1719 1728 2292 3056 3438 4584 5157 6112 6876 9168 10314 12224 13752 18336 20628 27504 36672 41256 55008 82512 110016 165024 330048 7216493 14432986 21649479 28865972 43298958 57731944 64948437 86597916 115463888 129896874 173195832 194845311 230927776 259793748 346391664 389690622 461855552 519587496 692783328 779381244 1039174992 1378350163 1385566656 1558762488 2078349984 2756700326 3117524976 4135050489 4156699968 5513400652 6235049952 8270100978 11026801304 12405151467 12470099904 16540201956 22053602608 24810302934 33080403912 37215454401 44107205216 49620605868 66160807824 74430908802 88214410432 99241211736 132321615648 148861817604 198482423472 264643231296 297723635208 396964846944 595447270416 793929693888 1190894540832 2381789081664