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10108467712 = 2973139011
BaseRepresentation
bin10010110101000001…
…01111101000000000
3222002110212100212001
421122200233220000
5131200231431322
64351015313344
7505332362230
oct113240575000
928073770761
1010108467712
114317a6a452
121b6137b854
13c51307255
146bc719cc0
153e2686827
hex25a82fa00

10108467712 has 80 divisors (see below), whose sum is σ = 23158821312. Its totient is φ = 4317880320.

The previous prime is 10108467701. The next prime is 10108467769. The reversal of 10108467712 is 21776480101.

It is a super-2 number, since 2×101084677122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 1117287 + ... + 1126297.

Almost surely, 210108467712 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 10108467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11579410656).

10108467712 is an abundant number, since it is smaller than the sum of its proper divisors (13050353600).

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

10108467712 is an frugal number, since it uses more digits than its factorization.

10108467712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 10108467712 in words is "ten billion, one hundred eight million, four hundred sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 313 448 512 626 896 1252 1792 2191 2504 3584 4382 5008 8764 9011 10016 17528 18022 20032 35056 36044 40064 63077 70112 72088 80128 126154 140224 144176 160256 252308 280448 288352 504616 560896 576704 1009232 1121792 1153408 2018464 2306816 2820443 4036928 4613632 5640886 8073856 11281772 16147712 19743101 22563544 32295424 39486202 45127088 78972404 90254176 157944808 180508352 315889616 361016704 631779232 722033408 1263558464 1444066816 2527116928 5054233856 10108467712