Search a number
-
+
517113115261404 = 223439751647200041
BaseRepresentation
bin111010110010011111100011…
…1100010110011100111011100
32111210221112100010002112021020
41311210333013202303213130
51020234340130001331104
65031450252521004140
7213631122026542554
oct16544770742634734
92453845303075236
10517113115261404
1113a84a4934aa242
1249bb7ba0023650
1319270732b8406c
14919a5a0612164
153ebb4738982d9
hex1d64fc78b39dc

517113115261404 has 96 divisors (see below), whose sum is σ = 1247416488062976. Its totient is φ = 166622655467520.

The previous prime is 517113115261397. The next prime is 517113115261429. The reversal of 517113115261404 is 404162511311715.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2584935624 + ... + 2585135664.

It is an arithmetic number, because the mean of its divisors is an integer number (12993921750656).

Almost surely, 2517113115261404 is an apocalyptic number.

It is an amenable number.

517113115261404 is an abundant number, since it is smaller than the sum of its proper divisors (730303372801572).

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

517113115261404 is a wasteful number, since it uses less digits than its factorization.

517113115261404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251835 (or 251833 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 517113115261404 in words is "five hundred seventeen trillion, one hundred thirteen billion, one hundred fifteen million, two hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 43 86 97 129 172 194 258 291 388 516 582 1164 4171 8342 12513 16684 25026 50052 51647 103294 154941 200041 206588 309882 400082 600123 619764 800164 1200246 2220821 2400492 4441642 5009759 6662463 8601763 8883284 10019518 13324926 15029277 17203526 19403977 20039036 25805289 26649852 30058554 34407052 38807954 51610578 58211931 60117108 77615908 103221156 116423862 215419637 232847724 430839274 646258911 834371011 861678548 1292517822 1668742022 2503113033 2585035644 3337484044 5006226066 10012452132 10331517527 20663035054 30994552581 41326070108 61989105162 123978210324 444255253661 888510507322 1002157200119 1332765760983 1777021014644 2004314400238 2665531521966 3006471600357 4008628800476 5331063043932 6012943200714 12025886401428 43092759605117 86185519210234 129278278815351 172371038420468 258556557630702 517113115261404