Search a number
-
+
495862100240 = 245131932470417
BaseRepresentation
bin1110011011100111010…
…11110011000100010000
31202101220111000121212212
413031303223303010100
531111011144201430
61015443525411252
750552632210553
oct7156353630420
91671814017785
10495862100240
11181326257131
1280127269b28
13379b4aa5c90
1419ddd85469a
15cd7271db95
hex7373af3110

495862100240 has 80 divisors (see below), whose sum is σ = 1247995883568. Its totient is φ = 182138830848.

The previous prime is 495862100213. The next prime is 495862100317. The reversal of 495862100240 is 42001268594.

It can be written as a sum of positive squares in 8 ways, for example, as 85273344256 + 410588755984 = 292016^2 + 640772^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034489 + ... + 1435928.

Almost surely, 2495862100240 is an apocalyptic number.

495862100240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495862100240 is an abundant number, since it is smaller than the sum of its proper divisors (752133783328).

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

495862100240 is a wasteful number, since it uses less digits than its factorization.

495862100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470636 (or 2470630 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 495862100240 in words is "four hundred ninety-five billion, eight hundred sixty-two million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 193 208 260 386 520 772 965 1040 1544 1930 2509 3088 3860 5018 7720 10036 12545 15440 20072 25090 40144 50180 100360 200720 2470417 4940834 9881668 12352085 19763336 24704170 32115421 39526672 49408340 64230842 98816680 128461684 160577105 197633360 256923368 321154210 476790481 513846736 642308420 953580962 1284616840 1907161924 2383952405 2569233680 3814323848 4767904810 6198276253 7628647696 9535809620 12396552506 19071619240 24793105012 30991381265 38143238480 49586210024 61982762530 99172420048 123965525060 247931050120 495862100240