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10742013234 = 2333719927017
BaseRepresentation
bin10100000000100011…
…00001110100110010
31000201121222210221000
422000101201310302
5133444423410414
64533530342430
7530124414561
oct120021416462
930647883830
1010742013234
11461264a597
1220b958aa16
131022649864
1473c915bd8
1542d0cdb09
hex280461d32

10742013234 has 64 divisors (see below), whose sum is σ = 24640416000. Its totient is φ = 3466260864.

The previous prime is 10742013179. The next prime is 10742013283. The reversal of 10742013234 is 43231024701.

It is a happy number.

10742013234 is a `hidden beast` number, since 1 + 0 + 7 + 420 + 1 + 3 + 234 = 666.

It is a super-2 number, since 2×107420132342 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10742013198 and 10742013207.

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, 384094 + ... + 411110.

It is an arithmetic number, because the mean of its divisors is an integer number (385006500).

Almost surely, 210742013234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742013234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320208000).

10742013234 is an abundant number, since it is smaller than the sum of its proper divisors (13898402766).

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

10742013234 is a wasteful number, since it uses less digits than its factorization.

10742013234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27264 (or 27258 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 10742013234 its reverse (43231024701), we get a palindrome (53973037935).

The spelling of 10742013234 in words is "ten billion, seven hundred forty-two million, thirteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 199 222 333 398 597 666 999 1194 1791 1998 3582 5373 7363 10746 14726 22089 27017 44178 54034 66267 81051 132534 162102 198801 243153 397602 486306 729459 999629 1458918 1999258 2998887 5376383 5997774 8996661 10752766 16129149 17993322 26989983 32258298 48387447 53979966 96774894 145162341 198926171 290324682 397852342 596778513 1193557026 1790335539 3580671078 5371006617 10742013234