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10612208384 = 281710192393
BaseRepresentation
bin10011110001000100…
…10111001100000000
31000101120202001010222
421320202113030000
5133213211132014
64513012242212
7523660166021
oct117042271400
930346661128
1010612208384
114556351258
122082010368
13100179bb5b
147295a6c48
154219dd08e
hex278897300

10612208384 has 72 divisors (see below), whose sum is σ = 22460412240. Its totient is φ = 4986994688.

The previous prime is 10612208381. The next prime is 10612208407. The reversal of 10612208384 is 48380221601.

It is a super-2 number, since 2×106122083842 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10612208381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4433492 + ... + 4435884.

It is an arithmetic number, because the mean of its divisors is an integer number (311950170).

Almost surely, 210612208384 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 10612208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11230206120).

10612208384 is an abundant number, since it is smaller than the sum of its proper divisors (11848203856).

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

10612208384 is a wasteful number, since it uses less digits than its factorization.

10612208384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

Adding to 10612208384 its reverse (48380221601), we get a palindrome (58992429985).

The spelling of 10612208384 in words is "ten billion, six hundred twelve million, two hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1019 1088 2038 2176 2393 4076 4352 4786 8152 9572 16304 17323 19144 32608 34646 38288 40681 65216 69292 76576 81362 130432 138584 153152 162724 260864 277168 306304 325448 554336 612608 650896 1108672 1301792 2217344 2438467 2603584 4434688 4876934 5207168 9753868 10414336 19507736 39015472 41453939 78030944 82907878 156061888 165815756 312123776 331631512 624247552 663263024 1326526048 2653052096 5306104192 10612208384