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10662010242 = 231335913709
BaseRepresentation
bin10011110111000000…
…10101110110000010
31000112001110020110020
421323200111312002
5133313433311432
64521551514310
7525133406652
oct117340256602
930461406406
1010662010242
114581477114
122096828996
13100bbb8000
1473204c362
1542607922c
hex27b815d82

10662010242 has 64 divisors (see below), whose sum is σ = 23493456000. Its totient is φ = 3224779584.

The previous prime is 10662010199. The next prime is 10662010267. The reversal of 10662010242 is 24201026601.

It is a super-2 number, since 2×106620102422 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770884 + ... + 784592.

It is an arithmetic number, because the mean of its divisors is an integer number (367085250).

Almost surely, 210662010242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10662010242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11746728000).

10662010242 is an abundant number, since it is smaller than the sum of its proper divisors (12831445758).

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

10662010242 is a wasteful number, since it uses less digits than its factorization.

10662010242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13812 (or 13786 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10662010242 its reverse (24201026601), we get a palindrome (34863036843).

The spelling of 10662010242 in words is "ten billion, six hundred sixty-two million, ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 59 78 118 169 177 338 354 507 767 1014 1534 2197 2301 4394 4602 6591 9971 13182 13709 19942 27418 29913 41127 59826 82254 129623 178217 259246 356434 388869 534651 777738 808831 1069302 1617662 2316821 2426493 4633642 4852986 6950463 10514803 13900926 21029606 30118673 31544409 60237346 63088818 90356019 136692439 180712038 273384878 410077317 820154634 1777001707 3554003414 5331005121 10662010242