Search a number
-
+
41642017536 = 28377745911
BaseRepresentation
bin100110110010000011…
…101100001100000000
310222111002210200002210
4212302003230030000
51140240324030121
631044032542120
73002633210640
oct466203541400
9128432720083
1041642017536
1116729919129
1280a19b1940
133c0830a282
1420306bc520
15113ac35876
hex9b20ec300

41642017536 has 72 divisors (see below), whose sum is σ = 126661153024. Its totient is φ = 11897717760.

The previous prime is 41642017517. The next prime is 41642017541. The reversal of 41642017536 is 63571024614.

It is a happy number.

It is a super-2 number, since 2×416420175362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41642017494 and 41642017503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3867580 + ... + 3878331.

Almost surely, 241642017536 is an apocalyptic number.

It is an amenable number.

41642017536 is an abundant number, since it is smaller than the sum of its proper divisors (85019135488).

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

41642017536 is an equidigital number, since it uses as much as digits as its factorization.

41642017536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7745937 (or 7745923 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 41642017536 in words is "forty-one billion, six hundred forty-two million, seventeen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 7745911 15491822 23237733 30983644 46475466 54221377 61967288 92950932 108442754 123934576 162664131 185901864 216885508 247869152 325328262 371803728 433771016 495738304 650656524 743607456 867542032 991476608 1301313048 1487214912 1735084064 1982953216 2602626096 2974429824 3470168128 5205252192 5948859648 6940336256 10410504384 13880672512 20821008768 41642017536