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332545365311540 = 225234316812202493
BaseRepresentation
bin100101110011100101100000…
…0010111110000000000110100
31121121110000201021112111211112
41023213023000113300000310
5322041410402004432130
63135133122023454152
7130021416105300353
oct11347130027600064
91547400637474745
10332545365311540
1196a60774307867
1231369629bb7358
1311372b7ca218b4
145c193d285999a
15286a404c97495
hex12e72c05f0034

332545365311540 has 48 divisors (see below), whose sum is σ = 745654805013888. Its totient is φ = 124275800820864.

The previous prime is 332545365311507. The next prime is 332545365311561. The reversal of 332545365311540 is 45113563545233.

It is a super-3 number, since 3×3325453653115403 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8406081467 + ... + 8406121026.

It is an arithmetic number, because the mean of its divisors is an integer number (15534475104456).

Almost surely, 2332545365311540 is an apocalyptic number.

It is an amenable number.

332545365311540 is an abundant number, since it is smaller than the sum of its proper divisors (413109439702348).

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

332545365311540 is a wasteful number, since it uses less digits than its factorization.

332545365311540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16812202568 (or 16812202566 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 50.

The spelling of 332545365311540 in words is "three hundred thirty-two trillion, five hundred forty-five billion, three hundred sixty-five million, three hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 430 460 860 989 1978 3956 4945 9890 19780 16812202493 33624404986 67248809972 84061012465 168122024930 336244049860 386680657339 722924707199 773361314678 1445849414398 1546722629356 1933403286695 2891698828796 3614623535995 3866806573390 7229247071990 7733613146780 14458494143980 16627268265577 33254536531154 66509073062308 83136341327885 166272682655770 332545365311540