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18701013132 = 22331724671283
BaseRepresentation
bin10001011010101010…
…101101000010001100
31210021022020220021000
4101122222231002030
5301244424410012
612331403340300
71231266663114
oct213252550214
953238226230
1018701013132
117a27263a5a
12375ab21690
1319c0535b59
14c9598a044
15746bcaddc
hex45aaad08c

18701013132 has 144 divisors (see below), whose sum is σ = 51654395520. Its totient is φ = 5849858304.

The previous prime is 18701013077. The next prime is 18701013151. The reversal of 18701013132 is 23131010781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18701013096 and 18701013105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14575363 + ... + 14576645.

It is an arithmetic number, because the mean of its divisors is an integer number (358711080).

Almost surely, 218701013132 is an apocalyptic number.

18701013132 is a gapful number since it is divisible by the number (12) 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 18701013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25827197760).

18701013132 is an abundant number, since it is smaller than the sum of its proper divisors (32953382388).

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

18701013132 is a wasteful number, since it uses less digits than its factorization.

18701013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 18701013132 in words is "eighteen billion, seven hundred one million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 459 467 578 612 867 918 934 1156 1283 1401 1734 1836 1868 2566 2601 2802 3468 3849 4203 5132 5202 5604 7698 7803 7939 8406 10404 11547 12609 15396 15606 15878 16812 21811 23094 23817 25218 31212 31756 34641 43622 46188 47634 50436 65433 69282 71451 87244 95268 130866 134963 138564 142902 196299 214353 261732 269926 285804 370787 392598 404889 428706 539852 588897 599161 741574 785196 809778 857412 1112361 1177794 1198322 1214667 1483148 1619556 1797483 2224722 2355588 2396644 2429334 3337083 3594966 3644001 4449444 4858668 5392449 6674166 7189932 7288002 10011249 10185737 10784898 13348332 14576004 16177347 20022498 20371474 21569796 30557211 32354694 40044996 40742948 61114422 64709388 91671633 122228844 173157529 183343266 275014899 346315058 366686532 519472587 550029798 692630116 1038945174 1100059596 1558417761 2077890348 3116835522 4675253283 6233671044 9350506566 18701013132