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10705246116124 = 2271722490012849
BaseRepresentation
bin1001101111001000001001…
…1001000101100100011100
31101220102010000012221222111
42123302002121011210130
52400343321001203444
634433531104523404
72153266656413110
oct233620231054434
941812100187874
1010705246116124
11345808439037a
12124a8b9320564
135c8667436991
142901cb07d740
1513870486a234
hex9bc8264591c

10705246116124 has 24 divisors (see below), whose sum is σ = 22669932952800. Its totient is φ = 4318082466816.

The previous prime is 10705246116121. The next prime is 10705246116157. The reversal of 10705246116124 is 42161164250701.

It is a happy number.

It is a super-2 number, since 2×107052461161242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705246116121) 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 7 ways as a sum of consecutive naturals, for example, 11245005949 + ... + 11245006900.

It is an arithmetic number, because the mean of its divisors is an integer number (944580539700).

Almost surely, 210705246116124 is an apocalyptic number.

10705246116124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10705246116124 is an abundant number, since it is smaller than the sum of its proper divisors (11964686836676).

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

10705246116124 is a wasteful number, since it uses less digits than its factorization.

10705246116124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22490012877 (or 22490012875 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 10705246116124 in words is "ten trillion, seven hundred five billion, two hundred forty-six million, one hundred sixteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 22490012849 44980025698 89960051396 157430089943 314860179886 382330218433 629720359772 764660436866 1529320873732 2676311529031 5352623058062 10705246116124