Search a number
-
+
10746537012 = 223217137128173
BaseRepresentation
bin10100000001000101…
…10010010000110100
31000201221111122101100
422000202302100310
5134002103141022
64534211330100
7530211025461
oct120042622064
930657448340
1010746537012
11461515a352
1220babb0930
131023571953
1473d372668
1542d6c41ac
hex2808b2434

10746537012 has 72 divisors (see below), whose sum is σ = 28972963656. Its totient is φ = 3346827264.

The previous prime is 10746536987. The next prime is 10746537049. The reversal of 10746537012 is 21073564701.

It is a happy number.

10746537012 is a `hidden beast` number, since 107 + 4 + 6 + 537 + 0 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7298968356 + 3447568656 = 85434^2 + 58716^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19758 + ... + 147930.

It is an arithmetic number, because the mean of its divisors is an integer number (402402273).

Almost surely, 210746537012 is an apocalyptic number.

10746537012 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 10746537012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486481828).

10746537012 is an abundant number, since it is smaller than the sum of its proper divisors (18226426644).

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

10746537012 is a wasteful number, since it uses less digits than its factorization.

10746537012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128337 (or 128332 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10746537012 in words is "ten billion, seven hundred forty-six million, five hundred thirty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 137 153 204 274 306 411 548 612 822 1233 1644 2329 2466 4658 4932 6987 9316 13974 20961 27948 41922 83844 128173 256346 384519 512692 769038 1153557 1538076 2178941 2307114 4357882 4614228 6536823 8715764 13073646 17559701 19610469 26147292 35119402 39220938 52679103 70238804 78441876 105358206 158037309 210716412 298514917 316074618 597029834 632149236 895544751 1194059668 1791089502 2686634253 3582179004 5373268506 10746537012