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6105214104 = 23311127211863
BaseRepresentation
bin1011010111110011…
…00010110010011000
3120202111001000021220
411223321202302120
5100000413322404
62445451532040
7304202315013
oct55371426230
916674030256
106105214104
1126532637a0
12122475a020
13763b16932
1441cb9a37a
1525aebc4d9
hex16be62c98

6105214104 has 128 divisors (see below), whose sum is σ = 16880762880. Its totient is φ = 1824681600.

The previous prime is 6105214091. The next prime is 6105214109. The reversal of 6105214104 is 4014125016.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105214109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7073977 + ... + 7074839.

It is an arithmetic number, because the mean of its divisors is an integer number (131880960).

Almost surely, 26105214104 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 6105214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440381440).

6105214104 is an abundant number, since it is smaller than the sum of its proper divisors (10775548776).

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

6105214104 is a wasteful number, since it uses less digits than its factorization.

6105214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 6105214104 is about 78135.8695094641. The cubic root of 6105214104 is about 1827.6805898579.

The spelling of 6105214104 in words is "six billion, one hundred five million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 211 254 264 381 422 508 633 762 844 863 1016 1266 1397 1524 1688 1726 2321 2532 2589 2794 3048 3452 4191 4642 5064 5178 5588 6904 6963 8382 9284 9493 10356 11176 13926 16764 18568 18986 20712 26797 27852 28479 33528 37972 53594 55704 56958 75944 80391 107188 109601 113916 160782 182093 214376 219202 227832 294767 321564 328803 364186 438404 546279 589534 643128 657606 728372 876808 884301 1092558 1179068 1205611 1315212 1456744 1768602 2003023 2185116 2358136 2411222 2630424 3537204 3616833 4006046 4370232 4822444 6009069 7074408 7233666 8012092 9644888 12018138 14467332 16024184 23125811 24036276 28934664 46251622 48072552 69377433 92503244 138754866 185006488 254383921 277509732 508767842 555019464 763151763 1017535684 1526303526 2035071368 3052607052 6105214104