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10748864903040 = 27345112103127131
BaseRepresentation
bin1001110001101010101001…
…0001100011011110000000
31102001120200212122220220000
42130122222101203132000
52402102133403344130
634505543234520000
72156402615113065
oct234325221433600
942046625586800
1010748864903040
113474628019600
121257251136000
135cc7c9146574
142923680cac6c
15139908dc5260
hex9c6aa463780

10748864903040 has 1920 divisors, whose sum is σ = 43265894031360. Its totient is φ = 2540624486400.

The previous prime is 10748864902967. The next prime is 10748864903057. The reversal of 10748864903040 is 4030946884701.

10748864903040 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 8 + 86 + 490 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 82052403775 + ... + 82052403905.

It is an arithmetic number, because the mean of its divisors is an integer number (22534319808).

Almost surely, 210748864903040 is an apocalyptic number.

10748864903040 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 10748864903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632947015680).

10748864903040 is an abundant number, since it is smaller than the sum of its proper divisors (32517029128320).

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

10748864903040 is a wasteful number, since it uses less digits than its factorization.

10748864903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10748864903040 in words is "ten trillion, seven hundred forty-eight billion, eight hundred sixty-four million, nine hundred three thousand, forty".