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3930873265449 = 3213229217532
BaseRepresentation
bin111001001100111010010…
…011011111110100101001
3111220210021022112202001100
4321030322103133310221
51003400412023443244
612205452424112013
7553665463313634
oct71147223376451
914823238482040
103930873265449
11128608a531889
125359b5605609
132268ab576c00
14d83806c4c1b
156c3b7394b69
hex3933a4dfd29

3930873265449 has 81 divisors (see below), whose sum is σ = 6371244085167. Its totient is φ = 2334252840192.

The previous prime is 3930873265439. The next prime is 3930873265453. The reversal of 3930873265449 is 9445623780393.

The square root of 3930873265449 is 1982643.

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

3930873265449 is a `hidden beast` number, since 3 + 9 + 3 + 0 + 87 + 3 + 2 + 6 + 544 + 9 = 666.

3930873265449 is digitally balanced in base 3, 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 13 ways, for example, as 3780080843049 + 150792422400 = 1944243^2 + 388320^2 .

It is not a de Polignac number, because 3930873265449 - 29 = 3930873264937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3930873265439) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2242368357 + ... + 2242370109.

Almost surely, 23930873265449 is an apocalyptic number.

3930873265449 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3930873265449 is the 1982643-rd square number.

3930873265449 is the 991322-nd centered octagonal number.

It is an amenable number.

3930873265449 is a deficient number, since it is larger than the sum of its proper divisors (2440370819718).

3930873265449 is an equidigital number, since it uses as much as digits as its factorization.

3930873265449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 3930873265449 in words is "three trillion, nine hundred thirty billion, eight hundred seventy-three million, two hundred sixty-five thousand, four hundred forty-nine".

Divisors: 1 3 9 13 29 39 87 117 169 261 377 507 841 1131 1521 1753 2523 3393 4901 5259 7569 10933 14703 15777 22789 32799 44109 50837 68367 98397 142129 152511 205101 296257 426387 457533 660881 888771 1279161 1474273 1982643 2666313 3073009 4422819 5947929 8591453 9219027 13268457 19165549 25774359 27657081 39949117 57496647 77323077 89117261 119847351 172489941 249152137 267351783 359542053 519338521 747456411 802055349 1158524393 1558015563 2242369233 2584400569 3475573179 4674046689 7753201707 10426719537 15060817109 23259605121 33597207397 45182451327 100791622191 135547353981 302374866573 436763696161 1310291088483 3930873265449