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10750034543040 = 2635513172311187
BaseRepresentation
bin1001110001101110111111…
…1111011000000111000000
31102001200201101112210100000
42130123233333120013000
52402112032320334130
634510255300200000
72156443606643202
oct234335777300700
942050641483300
1010750034543040
113475078279431
121257518999000
135cc95456ac40
14292439596772
15139976915260
hex9c6effd81c0

10750034543040 has 2016 divisors, whose sum is σ = 45319925274624. Its totient is φ = 2408136376320.

The previous prime is 10750034542969. The next prime is 10750034543099. The reversal of 10750034543040 is 4034543005701.

10750034543040 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 0 + 0 + 345 + 4 + 304 + 0 = 666.

It is a super-2 number, since 2×107500345430402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10750034542986 and 10750034543004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9056473327 + ... + 9056474513.

It is an arithmetic number, because the mean of its divisors is an integer number (22480121664).

Almost surely, 210750034543040 is an apocalyptic number.

10750034543040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10750034543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22659962637312).

10750034543040 is an abundant number, since it is smaller than the sum of its proper divisors (34569890731584).

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

10750034543040 is a wasteful number, since it uses less digits than its factorization.

10750034543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 10750034543040 its reverse (4034543005701), we get a palindrome (14784577548741).

The spelling of 10750034543040 in words is "ten trillion, seven hundred fifty billion, thirty-four million, five hundred forty-three thousand, forty".