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82050692352 = 283766913931
BaseRepresentation
bin100110001101010011…
…0100011010100000000
321211210020212001001120
41030122212203110000
52321014434123402
6101405451032240
75633202243336
oct1143246432400
9254706761046
1082050692352
1131885527652
1213a9a73b680
137977c4a745
143d8526bb56
1522035463bc
hex131a9a3500

82050692352 has 72 divisors (see below), whose sum is σ = 218418651360. Its totient is φ = 27344701440.

The previous prime is 82050692327. The next prime is 82050692357. The reversal of 82050692352 is 25329605028.

It is a super-2 number, since 2×820506923522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82050692357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5882827 + ... + 5896757.

It is an arithmetic number, because the mean of its divisors is an integer number (3033592380).

Almost surely, 282050692352 is an apocalyptic number.

It is an amenable number.

82050692352 is an abundant number, since it is smaller than the sum of its proper divisors (136367959008).

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

82050692352 is a wasteful number, since it uses less digits than its factorization.

82050692352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21619 (or 21605 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 82050692352 in words is "eighty-two billion, fifty million, six hundred ninety-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 7669 13931 15338 23007 27862 30676 41793 46014 55724 61352 83586 92028 111448 122704 167172 184056 222896 245408 334344 368112 445792 490816 668688 736224 891584 981632 1337376 1472448 1783168 1963264 2674752 2944896 3566336 5349504 5889792 10699008 106836839 213673678 320510517 427347356 641021034 854694712 1282042068 1709389424 2564084136 3418778848 5128168272 6837557696 10256336544 13675115392 20512673088 27350230784 41025346176 82050692352