Search a number
-
+
613869116004 = 223267219492
BaseRepresentation
bin10001110111011010111…
…00110101101001100100
32011200111121001010222100
420323231130311221210
540024200443203004
61150001345332100
762231151251364
oct10735534655144
92150447033870
10613869116004
11217382126741
129ab7b637030
1345b70101421
14219d620a9a4
1510e7c74a739
hex8eed735a64

613869116004 has 81 divisors (see below), whose sum is σ = 1576039092537. Its totient is φ = 201465541728.

The previous prime is 613869115999. The next prime is 613869116009. The reversal of 613869116004 is 400611968316.

The square root of 613869116004 is 783498.

It is a perfect power (a square), and thus also a powerful number.

613869116004 is a `hidden beast` number, since 6 + 1 + 38 + 6 + 9 + 1 + 1 + 600 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (613869115999) and next prime (613869116009).

It can be written as a sum of positive squares in only one way, i.e., 494346797604 + 119522318400 = 703098^2 + 345720^2 .

It is not an unprimeable number, because it can be changed into a prime (613869116009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 314965222 + ... + 314967170.

Almost surely, 2613869116004 is an apocalyptic number.

613869116004 is the 783498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613869116004

613869116004 is an abundant number, since it is smaller than the sum of its proper divisors (962169976533).

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

613869116004 is an equidigital number, since it uses as much as digits as its factorization.

613869116004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 613869116004 in words is "six hundred thirteen billion, eight hundred sixty-nine million, one hundred sixteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 1949 2412 3898 4489 5847 7796 8978 11694 13467 17541 17956 23388 26934 35082 40401 53868 70164 80802 130583 161604 261166 391749 522332 783498 1175247 1566996 2350494 3798601 4700988 7597202 8749061 11395803 15194404 17498122 22791606 26247183 34187409 34996244 45583212 52494366 68374818 78741549 104988732 136749636 157483098 254506267 314966196 509012534 763518801 1018025068 1527037602 2290556403 3054075204 4581112806 9162225612 17051919889 34103839778 51155759667 68207679556 102311519334 153467279001 204623038668 306934558002 613869116004