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106194189728 = 2511449671911
BaseRepresentation
bin110001011100110101…
…0101011110110100000
3101011002212002210011002
41202321222223312200
53214441203032403
6120441314011132
710446406501454
oct1427152536640
9334085083132
10106194189728
1141044940570
12186b8276aa8
13a024ba9c73
1451d597c664
152b67e30188
hex18b9aabda0

106194189728 has 48 divisors (see below), whose sum is σ = 228584462400. Its totient is φ = 48162508800.

The previous prime is 106194189677. The next prime is 106194189737. The reversal of 106194189728 is 827981491601.

It is a super-2 number, since 2×1061941897282 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 177908 + ... + 494003.

It is an arithmetic number, because the mean of its divisors is an integer number (4762176300).

Almost surely, 2106194189728 is an apocalyptic number.

It is an amenable number.

106194189728 is an abundant number, since it is smaller than the sum of its proper divisors (122390272672).

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

106194189728 is a wasteful number, since it uses less digits than its factorization.

106194189728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672381 (or 672373 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 56.

The spelling of 106194189728 in words is "one hundred six billion, one hundred ninety-four million, one hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 449 898 1796 3592 4939 7184 9878 14368 19756 39512 79024 158048 671911 1343822 2687644 5375288 7391021 10750576 14782042 21501152 29564084 59128168 118256336 236512672 301688039 603376078 1206752156 2413504312 3318568429 4827008624 6637136858 9654017248 13274273716 26548547432 53097094864 106194189728