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15093661242 = 23112176718253
BaseRepresentation
bin11100000111010011…
…01111111000111010
31102221220101102202110
432003221233320322
5221402434124432
610533421313150
71043015001162
oct160351577072
942856342673
1015093661242
116445a84100
122b12a057b6
1315670805ca
14a328455a2
155d5165dcc
hex383a6fe3a

15093661242 has 96 divisors (see below), whose sum is σ = 35659262016. Its totient is φ = 4240304640.

The previous prime is 15093661241. The next prime is 15093661277. The reversal of 15093661242 is 24216639051.

It is a self number, because there is not a number n which added to its sum of digits gives 15093661242.

It is not an unprimeable number, because it can be changed into a prime (15093661241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817788 + ... + 836040.

It is an arithmetic number, because the mean of its divisors is an integer number (371450646).

Almost surely, 215093661242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15093661242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829631008).

15093661242 is an abundant number, since it is smaller than the sum of its proper divisors (20565600774).

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

15093661242 is a wasteful number, since it uses less digits than its factorization.

15093661242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18364 (or 18353 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 15093661242 in words is "fifteen billion, ninety-three million, six hundred sixty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 67 102 121 134 187 201 242 363 374 402 561 726 737 1122 1139 1474 2057 2211 2278 3417 4114 4422 6171 6834 8107 12342 12529 16214 18253 24321 25058 36506 37587 48642 54759 75174 109518 137819 200783 275638 310301 401566 413457 602349 620602 826914 930903 1204698 1222951 1861806 2208613 2445902 3413311 3668853 4417226 6625839 6826622 7337706 10239933 13251678 13452461 20479866 20790167 26904922 37546421 40357383 41580334 62370501 75092842 80714766 112639263 124741002 147977071 225278526 228691837 295954142 443931213 457383674 686075511 887862426 1372151022 2515610207 5031220414 7546830621 15093661242