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106784226258 = 23172347968459
BaseRepresentation
bin110001101110011010…
…1011111101111010010
3101012121222100202002220
41203130311133233102
53222143230220013
6121020032321510
710500132642543
oct1433465375722
9335558322086
10106784226258
1141317a03766
12188419a3296
13a0ba1c77c8
1452500904ca
152b9eb30b23
hex18dcd5fbd2

106784226258 has 64 divisors (see below), whose sum is σ = 240983838720. Its totient is φ = 31362543872.

The previous prime is 106784226251. The next prime is 106784226287. The reversal of 106784226258 is 852622487601.

It is a super-2 number, since 2×1067842262582 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 106784226258.

It is not an unprimeable number, because it can be changed into a prime (106784226251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373968 + ... + 594491.

It is an arithmetic number, because the mean of its divisors is an integer number (3765372480).

Almost surely, 2106784226258 is an apocalyptic number.

106784226258 is an abundant number, since it is smaller than the sum of its proper divisors (134199612462).

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

106784226258 is a wasteful number, since it uses less digits than its factorization.

106784226258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968551.

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 106784226258 in words is "one hundred six billion, seven hundred eighty-four million, two hundred twenty-six thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 17 23 34 46 47 51 69 94 102 138 141 282 391 782 799 1081 1173 1598 2162 2346 2397 3243 4794 6486 18377 36754 55131 110262 968459 1936918 2905377 5810754 16463803 22274557 32927606 44549114 45517573 49391409 66823671 91035146 98782818 133647342 136552719 273105438 378667469 757334938 773798741 1046904179 1136002407 1547597482 2093808358 2272004814 2321396223 3140712537 4642792446 6281425074 17797371043 35594742086 53392113129 106784226258