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11349655655625 = 365472232312
BaseRepresentation
bin1010010100101000110000…
…1100011001010011001001
31111012000110000110101000000
42211022030030121103021
52441423043321440000
640045543153433213
72250662022211200
oct245121414312311
944160400411000
1011349655655625
1136863a8807231
12133378086b809
136443638697c1
142b347d3b0237
1514a36d390000
hexa528c3194c9

11349655655625 has 945 divisors, whose sum is σ = 26719014232449. Its totient is φ = 4802739480000.

The previous prime is 11349655655603. The next prime is 11349655655677. The reversal of 11349655655625 is 52655655694311.

The square root of 11349655655625 is 3368925.

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

11349655655625 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 9 + 6 + 5 + 5 + 65 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 889813003401 + 10459842652224 = 943299^2 + 3234168^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is not a de Polignac number, because 11349655655625 - 25 = 11349655655593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (145800000) is a multiple of the sum of its prime factors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 944 ways as a sum of consecutive naturals, for example, 366117924360 + ... + 366117924390.

Almost surely, 211349655655625 is an apocalyptic number.

11349655655625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11349655655625 is the 3368925-th square number.

11349655655625 is the 1684463-rd centered octagonal number.

It is an amenable number.

11349655655625 is an abundant number, since it is smaller than the sum of its proper divisors (15369358576824).

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

11349655655625 is an frugal number, since it uses more digits than its factorization.

11349655655625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 69 counting only the distinct ones).

The product of its digits is 145800000, while the sum is 63.

The spelling of 11349655655625 in words is "eleven trillion, three hundred forty-nine billion, six hundred fifty-five million, six hundred fifty-five thousand, six hundred twenty-five".