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11844138204 = 22321731761051
BaseRepresentation
bin10110000011111011…
…10011010011011100
31010120102211120011100
423001331303103130
5143224044410304
65235140553100
7566336341113
oct130175632334
933512746140
1011844138204
115028786378
1223666b2790
131169a92802
14805048c7a
15494c34439
hex2c1f734dc

11844138204 has 72 divisors (see below), whose sum is σ = 31801009968. Its totient is φ = 3704025600.

The previous prime is 11844138203. The next prime is 11844138209. The reversal of 11844138204 is 40283144811.

It is a happy number.

11844138204 is a `hidden beast` number, since 1 + 1 + 8 + 441 + 3 + 8 + 204 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11844138203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 163479 + ... + 224529.

It is an arithmetic number, because the mean of its divisors is an integer number (441680694).

Almost surely, 211844138204 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 11844138204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15900504984).

11844138204 is an abundant number, since it is smaller than the sum of its proper divisors (19956871764).

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

11844138204 is a wasteful number, since it uses less digits than its factorization.

11844138204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61395 (or 61390 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11844138204 in words is "eleven billion, eight hundred forty-four million, one hundred thirty-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 317 612 634 951 1268 1902 2853 3804 5389 5706 10778 11412 16167 21556 32334 48501 61051 64668 97002 122102 183153 194004 244204 366306 549459 732612 1037867 1098918 2075734 2197836 3113601 4151468 6227202 9340803 12454404 18681606 19353167 37363212 38706334 58059501 77412668 116119002 174178503 232238004 329003839 348357006 658007678 696714012 987011517 1316015356 1974023034 2961034551 3948046068 5922069102 11844138204