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11774401416 = 2332179619609
BaseRepresentation
bin10101111011100111…
…10001101110001000
31010101120121120021100
422331303301232020
5143103221321131
65224210141400
7564531521631
oct127563615610
933346546240
1011774401416
114aa2385068
122347281860
1311584b6a3b
147d9a94888
1548da5b7e6
hex2bdcf1b88

11774401416 has 48 divisors (see below), whose sum is σ = 33764831100. Its totient is φ = 3693929472.

The previous prime is 11774401409. The next prime is 11774401423. The reversal of 11774401416 is 61410447711.

11774401416 is a `hidden beast` number, since 1 + 1 + 77 + 440 + 141 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11774401409) and next prime (11774401423).

It can be written as a sum of positive squares in 2 ways, for example, as 11735388900 + 39012516 = 108330^2 + 6246^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4808581 + ... + 4811028.

Almost surely, 211774401416 is an apocalyptic number.

It is an amenable number.

11774401416 is an abundant number, since it is smaller than the sum of its proper divisors (21990429684).

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

11774401416 is a wasteful number, since it uses less digits than its factorization.

11774401416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9619638 (or 9619631 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11774401416 in words is "eleven billion, seven hundred seventy-four million, four hundred one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 9619609 19239218 28858827 38478436 57717654 76956872 86576481 115435308 163533353 173152962 230870616 327066706 346305924 490600059 654133412 692611848 981200118 1308266824 1471800177 1962400236 2943600354 3924800472 5887200708 11774401416