Search a number
-
+
11298059982 = 2351112911637
BaseRepresentation
bin10101000010110101…
…01011011011001110
31002011101021220200000
422201122223123032
5141114300404412
65105032345130
7546655632246
oct124132533316
932141256600
1011298059982
114878507760
1222338451a6
1310b08c63c1
147926dab26
15461d184dc
hex2a16ab6ce

11298059982 has 96 divisors (see below), whose sum is σ = 27731942784. Its totient is φ = 3418912800.

The previous prime is 11298059963. The next prime is 11298060049. The reversal of 11298059982 is 28995089211.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6900868 + ... + 6902504.

It is an arithmetic number, because the mean of its divisors is an integer number (288874404).

Almost surely, 211298059982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11298059982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865971392).

11298059982 is an abundant number, since it is smaller than the sum of its proper divisors (16433882802).

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

11298059982 is a wasteful number, since it uses less digits than its factorization.

11298059982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 11298059982 in words is "eleven billion, two hundred ninety-eight million, fifty-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1291 1637 1782 2582 2673 3274 3873 4911 5346 7746 9822 11619 14201 14733 18007 23238 28402 29466 34857 36014 42603 44199 54021 69714 85206 88398 104571 108042 127809 132597 162063 209142 255618 265194 313713 324126 383427 397791 486189 627426 766854 795582 972378 1150281 1458567 2113367 2300562 2917134 3450843 4226734 4375701 6340101 6901686 8751402 12680202 19020303 23247037 38040606 46494074 57060909 69741111 114121818 139482222 171182727 209223333 342365454 418446666 513548181 627669999 1027096362 1255339998 1883009997 3766019994 5649029991 11298059982