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6105005608 = 2313791494987
BaseRepresentation
bin1011010111110001…
…01111111000101000
3120202110122102021211
411223320233320220
5100000340134413
62445443242504
7304200456112
oct55370577050
916673572254
106105005608
112653131089
121224679434
13763a72a70
1441cb443b2
1525ae7a83d
hex16be2fe28

6105005608 has 64 divisors (see below), whose sum is σ = 12569760000. Its totient is φ = 2762802432.

The previous prime is 6105005603. The next prime is 6105005611. The reversal of 6105005608 is 8065005016.

It is a super-2 number, since 2×61050056082 = 74542186947422899328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6105005608.

It is not an unprimeable number, because it can be changed into a prime (6105005603) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1221691 + ... + 1226677.

It is an arithmetic number, because the mean of its divisors is an integer number (196402500).

Almost surely, 26105005608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105005608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284880000).

6105005608 is an abundant number, since it is smaller than the sum of its proper divisors (6464754392).

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

6105005608 is a wasteful number, since it uses less digits than its factorization.

6105005608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 6105005608 is about 78134.5353092984. The cubic root of 6105005608 is about 1827.6597842305.

The spelling of 6105005608 in words is "six billion, one hundred five million, five thousand, six hundred eight".

Divisors: 1 2 4 8 13 26 52 79 104 149 158 298 316 596 632 1027 1192 1937 2054 3874 4108 4987 7748 8216 9974 11771 15496 19948 23542 39896 47084 64831 94168 129662 153023 259324 306046 393973 518648 612092 743063 787946 1224184 1486126 1575892 2972252 3151784 5121649 5944504 9659819 10243298 19319638 20486596 38639276 40973192 58701977 77278552 117403954 234807908 469615816 763125701 1526251402 3052502804 6105005608