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52468886425 = 52101197313337
BaseRepresentation
bin110000110111011000…
…111010101110011001
312000102122110121002211
4300313120322232121
51324424013331200
640034234155121
73535141114234
oct606730725631
9160378417084
1052468886425
1120285355a5a
12a203882aa1
134c423c7377
14277a5a241b
1515714c6aba
hexc3763ab99

52468886425 has 48 divisors (see below), whose sum is σ = 66446698032. Its totient is φ = 41094144000.

The previous prime is 52468886383. The next prime is 52468886447.

52468886425 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 26228450304 + 26240436121 = 161952^2 + 161989^2 .

It is not a de Polignac number, because 52468886425 - 29 = 52468885913 is a prime.

It is a super-3 number, since 3×524688864253 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52468886425.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155693857 + ... + 155694193.

It is an arithmetic number, because the mean of its divisors is an integer number (1384306209).

Almost surely, 252468886425 is an apocalyptic number.

It is an amenable number.

52468886425 is a deficient number, since it is larger than the sum of its proper divisors (13977811607).

52468886425 is a wasteful number, since it uses less digits than its factorization.

52468886425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 953 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 58.

The spelling of 52468886425 in words is "fifty-two billion, four hundred sixty-eight million, eight hundred eighty-six thousand, four hundred twenty-five".

Divisors: 1 5 25 101 197 313 337 505 985 1565 1685 2525 4925 7825 8425 19897 31613 34037 61661 66389 99485 105481 158065 170185 308305 331945 497425 527405 790325 850925 1541525 1659725 2637025 6227761 6705289 10653581 20779757 31138805 33526445 53267905 103898785 155694025 167632225 266339525 519493925 2098755457 10493777285 52468886425