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106828022862 = 23211264176519
BaseRepresentation
bin110001101111101110…
…0100100010001001110
3101012202000202211202100
41203133130210101032
53222240433212422
6121024235135530
710501204132461
oct1433734442116
9335660684670
10106828022862
114133a6a7800
12188545a45a6
13a0c62c0462
145255c112d8
152ba38d27ac
hex18df72444e

106828022862 has 72 divisors (see below), whose sum is σ = 254815732080. Its totient is φ = 32321203200.

The previous prime is 106828022839. The next prime is 106828022887. The reversal of 106828022862 is 268220828601.

It is a super-2 number, since 2×1068280228622 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1357839 + ... + 1434357.

It is an arithmetic number, because the mean of its divisors is an integer number (3539107390).

Almost surely, 2106828022862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106828022862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127407866040).

106828022862 is an abundant number, since it is smaller than the sum of its proper divisors (147987709218).

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

106828022862 is a wasteful number, since it uses less digits than its factorization.

106828022862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77190 (or 77176 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 106828022862 in words is "one hundred six billion, eight hundred twenty-eight million, twenty-two thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 641 726 1089 1282 1923 2178 3846 5769 7051 11538 14102 21153 42306 63459 76519 77561 126918 153038 155122 229557 232683 459114 465366 688671 698049 841709 1377342 1396098 1683418 2525127 5050254 7575381 9258799 15150762 18517598 27776397 49048679 55552794 83329191 98097358 147146037 166658382 294292074 441438111 539535469 882876222 1079070938 1618606407 3237212814 4855819221 5934890159 9711638442 11869780318 17804670477 35609340954 53414011431 106828022862