Search a number
-
+
2095140451599 = 32132347103160829
BaseRepresentation
bin11110011111010000000…
…110100011010100001111
321102021220221101120000200
4132133100012203110033
5233311321423422344
64242254431024543
7304240350666666
oct36372006432417
97367827346020
102095140451599
117385a918a288
1229a07636b153
1312275634cc90
147359636dddd
15397757a6069
hex1e7d01a350f

2095140451599 has 96 divisors (see below), whose sum is σ = 3506907156480. Its totient is φ = 1195294281984.

The previous prime is 2095140451561. The next prime is 2095140451759. The reversal of 2095140451599 is 9951540415902.

It is a happy number.

2095140451599 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 1 + 4 + 0 + 45 + 1 + 599 = 666.

It is a Cunningham number, because it is equal to 14474602-1.

It is not a de Polignac number, because 2095140451599 - 28 = 2095140451343 is a prime.

It is a super-2 number, since 2×20951404515992 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095140451399) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12946717 + ... + 13107545.

It is an arithmetic number, because the mean of its divisors is an integer number (36530282880).

Almost surely, 22095140451599 is an apocalyptic number.

2095140451599 is a deficient number, since it is larger than the sum of its proper divisors (1411766704881).

2095140451599 is a wasteful number, since it uses less digits than its factorization.

2095140451599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161021 (or 161018 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 2095140451599 in words is "two trillion, ninety-five billion, one hundred forty million, four hundred fifty-one thousand, five hundred ninety-nine".

Divisors: 1 3 9 13 23 39 47 69 103 117 141 207 299 309 423 611 897 927 1081 1339 1833 2369 2691 3243 4017 4841 5499 7107 9729 12051 14053 14523 21321 30797 42159 43569 62933 92391 111343 126477 160829 188799 277173 334029 482487 566397 1002087 1447459 1447461 2090777 3699067 4342377 6272331 7558963 11097201 13027131 16565387 18816993 22676889 33291603 48087871 49696161 68030667 98266519 144263613 149088483 173856149 215350031 294799557 381003901 432790839 521568447 646050093 778573189 884398671 1143011703 1564705341 1938150279 2260129937 2335719567 3429035109 4953050713 6780389811 7007158701 10121451457 14859152139 17907183347 20341169433 30364354371 44577456417 53721550041 91093063113 161164650123 232793383511 698380150533 2095140451599