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11673336164 = 2273740128099
BaseRepresentation
bin10101101111100100…
…01111100101100100
31010010112102220210212
422313302033211210
5142401333224124
65210200034552
7562163502020
oct126762174544
933115386725
1011673336164
114a50326266
122319462a58
13114058c409
147ca4a7380
15484c4640e
hex2b7c8f964

11673336164 has 48 divisors (see below), whose sum is σ = 24038313600. Its totient is φ = 4855334400.

The previous prime is 11673336163. The next prime is 11673336193. The reversal of 11673336164 is 46163337611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11673336163) 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 15 ways as a sum of consecutive naturals, for example, 401387 + ... + 429485.

It is an arithmetic number, because the mean of its divisors is an integer number (500798200).

Almost surely, 211673336164 is an apocalyptic number.

11673336164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11673336164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019156800).

11673336164 is an abundant number, since it is smaller than the sum of its proper divisors (12364977436).

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

11673336164 is a wasteful number, since it uses less digits than its factorization.

11673336164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28548 (or 28546 counting only the distinct ones).

The product of its digits is 163296, while the sum is 41.

The spelling of 11673336164 in words is "eleven billion, six hundred seventy-three million, three hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 37 74 148 259 401 518 802 1036 1604 2807 5614 11228 14837 28099 29674 56198 59348 103859 112396 196693 207718 393386 415436 786772 1039663 2079326 4158652 7277641 11267699 14555282 22535398 29110564 45070796 78873893 157747786 315495572 416904863 833809726 1667619452 2918334041 5836668082 11673336164