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332074435081 = 2923126412
BaseRepresentation
bin1001101010100010010…
…11011100001000001001
31011202010211122011002011
410311101023130020021
520420042023410311
6412315231335521
732664054061024
oct4652113341011
91152124564064
10332074435081
111189173a8094
12544370815a1
1325411c0048c
1412102ca01bb
1589884a0321
hex4d512dc209

332074435081 has 27 divisors (see below), whose sum is σ = 355927477269. Its totient is φ = 309796838400.

The previous prime is 332074435079. The next prime is 332074435097. The reversal of 332074435081 is 180534470233.

The square root of 332074435081 is 576259.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 74233906681 + 257840528400 = 272459^2 + 507780^2 .

It is not a de Polignac number, because 332074435081 - 21 = 332074435079 is a prime.

It is a super-3 number, since 3×3320744350813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332074435001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 518056521 + ... + 518057161.

Almost surely, 2332074435081 is an apocalyptic number.

332074435081 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

332074435081 is the 576259-th square number.

332074435081 is the 288130-th centered octagonal number.

It is an amenable number.

332074435081 is a deficient number, since it is larger than the sum of its proper divisors (23853042188).

332074435081 is an frugal number, since it uses more digits than its factorization.

332074435081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 332074435081 in words is "three hundred thirty-two billion, seventy-four million, four hundred thirty-five thousand, eighty-one".

Divisors: 1 29 31 641 841 899 961 18589 19871 26071 27869 410881 539081 576259 616001 808201 11915549 12737311 16711511 17864029 345550921 369382019 394856641 518056841 10712078551 11450842589 332074435081