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9513739269225 = 3452685432
BaseRepresentation
bin1000101001110001011100…
…0011001011010001101001
31020200111121211212201210000
42022130113003023101221
52221333114223103400
632122315042013213
72001226220336262
oct212342703132151
936614554781700
109513739269225
113038832881984
1210979b0047209
135401ac5ba869
1424c678911969
1511771a5de600
hex8a7170cb469

9513739269225 has 45 divisors (see below), whose sum is σ = 17622990935143. Its totient is φ = 5073920250480.

The previous prime is 9513739269191. The next prime is 9513739269233. The reversal of 9513739269225 is 5229629373159.

It is a happy number.

The square root of 9513739269225 is 3084435.

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

9513739269225 is a `hidden beast` number, since 9 + 5 + 13 + 7 + 392 + 6 + 9 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3424946136921 + 6088793132304 = 1850661^2 + 2467548^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 9513739269225 - 221 = 9513737172073 is a prime.

It is a super-2 number, since 2×95137392692252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 138765304 + ... + 138833846.

Almost surely, 29513739269225 is an apocalyptic number.

9513739269225 is the 3084435-th square number.

9513739269225 is the 1542218-th centered octagonal number.

It is an amenable number.

9513739269225 is a deficient number, since it is larger than the sum of its proper divisors (8109251665918).

9513739269225 is an frugal number, since it uses more digits than its factorization.

9513739269225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137108 (or 68551 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 9513739269225 in words is "nine trillion, five hundred thirteen billion, seven hundred thirty-nine million, two hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 68543 205629 342715 616887 1028145 1713575 1850661 3084435 5140725 5551983 9253305 15422175 27759915 46266525 138799575 4698142849 14094428547 23490714245 42283285641 70472142735 117453571225 126849856923 211416428205 352360713675 380549570769 634249284615 1057082141025 1902747853845 3171246423075 9513739269225