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6106105104 = 24311108710639
BaseRepresentation
bin1011010111111001…
…11100010100010000
3120202112201021111220
411223330330110100
5100001130330404
62445523005040
7304213015461
oct55374742420
916675637456
106106105104
112653812160
121224b09780
13764069358
1441cd4cd68
1525b0e64d9
hex16bf3c510

6106105104 has 80 divisors (see below), whose sum is σ = 17225564160. Its totient is φ = 1848458880.

The previous prime is 6106105097. The next prime is 6106105127. The reversal of 6106105104 is 4015016016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568617 + ... + 579255.

It is an arithmetic number, because the mean of its divisors is an integer number (215319552).

Almost surely, 26106105104 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 6106105104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612782080).

6106105104 is an abundant number, since it is smaller than the sum of its proper divisors (11119459056).

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

6106105104 is a wasteful number, since it uses less digits than its factorization.

6106105104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11748 (or 11742 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 6106105104 is about 78141.5709081920. The cubic root of 6106105104 is about 1827.7694966057.

The spelling of 6106105104 in words is "six billion, one hundred six million, one hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1087 2174 3261 4348 6522 8696 10639 11957 13044 17392 21278 23914 26088 31917 35871 42556 47828 52176 63834 71742 85112 95656 117029 127668 143484 170224 191312 234058 255336 286968 351087 468116 510672 573936 702174 936232 1404348 1872464 2808696 5617392 11564593 23129186 34693779 46258372 69387558 92516744 127210523 138775116 185033488 254421046 277550232 381631569 508842092 555100464 763263138 1017684184 1526526276 2035368368 3053052552 6106105104