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11744916201 = 325692293481
BaseRepresentation
bin10101111000000110…
…10011001011101001
31010022112010120011100
422330003103023221
5143023144304301
65221234152013
7564023066124
oct127403231351
933275116140
1011744916201
114a87776417
122339422609
131152362175
147d5bbb3bb
1548b185286
hex2bc0d32e9

11744916201 has 12 divisors (see below), whose sum is σ = 16994701620. Its totient is φ = 7816179840.

The previous prime is 11744916193. The next prime is 11744916217. The reversal of 11744916201 is 10261944711.

11744916201 is a `hidden beast` number, since 1 + 1 + 7 + 449 + 1 + 6 + 201 = 666.

11744916201 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 2 ways, for example, as 4519066176 + 7225850025 = 67224^2 + 85005^2 .

It is not a de Polignac number, because 11744916201 - 23 = 11744916193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11744916301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141620 + ... + 1151861.

It is an arithmetic number, because the mean of its divisors is an integer number (1416225135).

Almost surely, 211744916201 is an apocalyptic number.

It is an amenable number.

11744916201 is a deficient number, since it is larger than the sum of its proper divisors (5249785419).

11744916201 is a wasteful number, since it uses less digits than its factorization.

11744916201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294056 (or 2294053 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11744916201 in words is "eleven billion, seven hundred forty-four million, nine hundred sixteen thousand, two hundred one".

Divisors: 1 3 9 569 1707 5121 2293481 6880443 20641329 1304990689 3914972067 11744916201