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13120342032492 = 2233377019467783
BaseRepresentation
bin1011111011101101000101…
…0100111000000001101100
31201110021220012021012011000
42332323101110320001230
53204430430030014432
643523222452000300
72522625210115152
oct276732124700154
951407805235130
1013120342032492
1141a93400379a2
12157a988000090
13742320999276
143350569633d2
1517b4546a057c
hexbeed153806c

13120342032492 has 96 divisors (see below), whose sum is σ = 34940096755200. Its totient is φ = 4254630722496.

The previous prime is 13120342032491. The next prime is 13120342032517. The reversal of 13120342032492 is 29423024302131.

13120342032492 is a `hidden beast` number, since 1 + 3 + 1 + 203 + 4 + 203 + 249 + 2 = 666.

13120342032492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13120342032491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27814033 + ... + 28281815.

It is an arithmetic number, because the mean of its divisors is an integer number (363959341200).

Almost surely, 213120342032492 is an apocalyptic number.

13120342032492 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 13120342032492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17470048377600).

13120342032492 is an abundant number, since it is smaller than the sum of its proper divisors (21819754722708).

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

13120342032492 is a wasteful number, since it uses less digits than its factorization.

13120342032492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474852 (or 474844 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13120342032492 in words is "thirteen trillion, one hundred twenty billion, three hundred forty-two million, thirty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 7019 14038 21057 28076 42114 63171 84228 126342 189513 252684 259703 379026 467783 519406 758052 779109 935566 1038812 1403349 1558218 1871132 2337327 2806698 3116436 4210047 4674654 5613396 7011981 8420094 9349308 12630141 14023962 16840188 17307971 25260282 28047924 34615942 50520564 51923913 69231884 103847826 155771739 207695652 311543478 467315217 623086956 934630434 1869260868 3283368877 6566737754 9850106631 13133475508 19700213262 29550319893 39400426524 59100639786 88650959679 118201279572 121484648449 177301919358 242969296898 354603838716 364453945347 485938593796 728907890694 1093361836041 1457815781388 2186723672082 3280085508123 4373447344164 6560171016246 13120342032492