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3604545262096 = 243126122512
BaseRepresentation
bin110100011100111111101…
…000111101001000010000
3110202120221221211120100221
4310130333220331020100
5433024102041341341
611355523310322424
7521263664125102
oct64347750751020
913676857746327
103604545262096
11116a751914a29
124a2702ab9414
13201ba40508bc
14c6664aa9572
1563b68640ed1
hex3473fa3d210

3604545262096 has 135 divisors (see below), whose sum is σ = 7365943985517. Its totient is φ = 1708707600000.

The previous prime is 3604545262091. The next prime is 3604545262169. The reversal of 3604545262096 is 6902625454063.

The square root of 3604545262096 is 1898564.

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

3604545262096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 117213108496 + 3487332153600 = 342364^2 + 1867440^2 .

It is not an unprimeable number, because it can be changed into a prime (3604545262091) 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, 14360737971 + ... + 14360738221.

Almost surely, 23604545262096 is an apocalyptic number.

3604545262096 is the 1898564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3604545262096

3604545262096 is an abundant number, since it is smaller than the sum of its proper divisors (3761398723421).

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

3604545262096 is an frugal number, since it uses more digits than its factorization.

3604545262096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 3604545262096 in words is "three trillion, six hundred four billion, five hundred forty-five million, two hundred sixty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 251 488 496 502 961 976 1004 1891 1922 2008 3721 3782 3844 4016 7442 7564 7688 7781 14884 15128 15311 15376 15562 29768 30256 30622 31124 58621 59536 61244 62248 63001 115351 117242 122488 124496 126002 230702 234484 241211 244976 252004 461404 468968 474641 482422 504008 922808 933971 937936 949282 964844 1008016 1845616 1867942 1898564 1929688 1953031 3575881 3735884 3797128 3843061 3859376 3906062 7151762 7471768 7594256 7686122 7812124 14303524 14713871 14943536 15372244 15624248 28607048 28953101 29427742 30744488 31248496 57214096 57906202 58855484 60543961 61488976 115812404 117710968 119134891 121087922 231624808 234426721 235421936 238269782 242175844 463249616 468853442 476539564 484351688 897546131 937706884 953079128 968703376 1795092262 1875413768 1906158256 3590184524 3693181621 3750827536 7180369048 7267228351 7386363242 14360738096 14534456702 14772726484 29068913404 29545452968 58137826808 59090905936 116275653616 225284078881 450568157762 901136315524 1802272631048 3604545262096