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11912164704 = 25321116932221
BaseRepresentation
bin10110001100000010…
…10011010101100000
31010202011211122222100
423012001103111200
5143344003232304
65250011010400
7601123505106
oct130601232540
933664748870
1011912164704
115063119720
122385439a00
13117abbcc8b
148100b5c76
1549abc0439
hex2c6053560

11912164704 has 144 divisors (see below), whose sum is σ = 36993260304. Its totient is φ = 3605990400.

The previous prime is 11912164699. The next prime is 11912164739. The reversal of 11912164704 is 40746121911.

11912164704 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 2 + 1 + 647 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5362314 + ... + 5364534.

It is an arithmetic number, because the mean of its divisors is an integer number (256897641).

Almost surely, 211912164704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11912164704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496630152).

11912164704 is an abundant number, since it is smaller than the sum of its proper divisors (25081095600).

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

11912164704 is a wasteful number, since it uses less digits than its factorization.

11912164704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3930 counting only the distinct ones).

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

The spelling of 11912164704 in words is "eleven billion, nine hundred twelve million, one hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1693 2221 3168 3386 4442 5079 6663 6772 8884 10158 13326 13544 15237 17768 18623 19989 20316 24431 26652 27088 30474 35536 37246 39978 40632 48862 53304 54176 55869 60948 71072 73293 74492 79956 81264 97724 106608 111738 121896 146586 148984 159912 162528 167607 195448 213216 219879 223476 243792 293172 297968 319824 335214 390896 439758 446952 487584 586344 595936 639648 670428 781792 879516 893904 1172688 1340856 1759032 1787808 2345376 2681712 3518064 3760153 5363424 7036128 7520306 11280459 15040612 22560918 30081224 33841377 41361683 45121836 60162448 67682754 82723366 90243672 120324896 124085049 135365508 165446732 180487344 248170098 270731016 330893464 360974688 372255147 496340196 541462032 661786928 744510294 992680392 1082924064 1323573856 1489020588 1985360784 2978041176 3970721568 5956082352 11912164704