Search a number
-
+
7540052864316 = 223734342602057
BaseRepresentation
bin110110110111000111000…
…1011000010110100111100
3222200211012020201000022220
41231232032023002310330
51442014012013124231
624011504044405340
71405515352605000
oct155561613026474
928624166630286
107540052864316
11244779a3005a5
12a19390546850
134290407779cb
141c0d24a68700
15d12027ac896
hex6db8e2c2d3c

7540052864316 has 96 divisors (see below), whose sum is σ = 20994294182400. Its totient is φ = 2104200749952.

The previous prime is 7540052864291. The next prime is 7540052864317. The reversal of 7540052864316 is 6134682500457.

It is a super-2 number, since 2×75400528643162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7540052864317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21124041 + ... + 21478016.

It is an arithmetic number, because the mean of its divisors is an integer number (218690564400).

Almost surely, 27540052864316 is an apocalyptic number.

It is an amenable number.

7540052864316 is an abundant number, since it is smaller than the sum of its proper divisors (13454241318084).

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

7540052864316 is a wasteful number, since it uses less digits than its factorization.

7540052864316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42602128 (or 42602112 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 7540052864316 in words is "seven trillion, five hundred forty billion, fifty-two million, eight hundred sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 343 516 588 602 686 903 1029 1204 1372 1806 2058 2107 3612 4116 4214 6321 8428 12642 14749 25284 29498 44247 58996 88494 176988 42602057 85204114 127806171 170408228 255612342 298214399 511224684 596428798 894643197 1192857596 1789286394 1831888451 2087500793 3578572788 3663776902 4175001586 5495665353 6262502379 7327553804 8350003172 10991330706 12525004758 12823219157 14612505551 21982661412 25050009516 25646438314 29225011102 38469657471 43837516653 51292876628 58450022204 76939314942 87675033306 89762534099 153878629884 175350066612 179525068198 269287602297 359050136396 538575204594 628337738693 1077150409188 1256675477386 1885013216079 2513350954772 3770026432158 7540052864316