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557117001620 = 225374353330347
BaseRepresentation
bin10000001101101101100…
…00101100111110010100
31222021000102221000200222
420012312300230332110
533111433423022440
61103534102453512
755151610244064
oct10066660547624
91867012830628
10557117001620
111a52aa029173
128bb81434298
13406c750a95a
141cd70c493a4
15e75a2042b5
hex81b6c2cf94

557117001620 has 96 divisors (see below), whose sum is σ = 1252711329408. Its totient is φ = 207784991232.

The previous prime is 557117001601. The next prime is 557117001647. The reversal of 557117001620 is 26100711755.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1521287 + ... + 1851633.

It is an arithmetic number, because the mean of its divisors is an integer number (13049076348).

Almost surely, 2557117001620 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 557117001620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626355664704).

557117001620 is an abundant number, since it is smaller than the sum of its proper divisors (695594327788).

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

557117001620 is a wasteful number, since it uses less digits than its factorization.

557117001620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330489 (or 330487 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 35.

The spelling of 557117001620 in words is "five hundred fifty-seven billion, one hundred seventeen million, one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 37 43 53 74 86 106 148 172 185 212 215 265 370 430 530 740 860 1060 1591 1961 2279 3182 3922 4558 6364 7844 7955 9116 9805 11395 15910 19610 22790 31820 39220 45580 84323 168646 330347 337292 421615 660694 843230 1321388 1651735 1686460 3303470 6606940 12222839 14204921 17508391 24445678 28409842 35016782 48891356 56819684 61114195 70033564 71024605 87541955 122228390 142049210 175083910 244456780 284098420 350167820 525582077 647810467 752860813 1051164154 1295620934 1505721626 2102328308 2591241868 2627910385 3011443252 3239052335 3764304065 5255820770 6478104670 7528608130 10511641540 12956209340 15057216260 27855850081 55711700162 111423400324 139279250405 278558500810 557117001620