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9676053383040 = 2733511437316217
BaseRepresentation
bin1000110011001110000110…
…1110011000011110000000
31021021000120210112001011000
42030303201232120132000
52232013024131224130
632325041220452000
72016033423466062
oct214634156303600
937230523461130
109676053383040
1130a0655975aa0
12110334a84a000
135525a91017a5
142564758c9732
1511ba6a2da260
hex8cce1b98780

9676053383040 has 1024 divisors, whose sum is σ = 38780585395200. Its totient is φ = 2259633438720.

The previous prime is 9676053382987. The next prime is 9676053383057. The reversal of 9676053383040 is 403833506769.

9676053383040 is a `hidden beast` number, since 9 + 6 + 7 + 60 + 533 + 8 + 3 + 0 + 40 = 666.

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 127 ways as a sum of consecutive naturals, for example, 596653012 + ... + 596669228.

It is an arithmetic number, because the mean of its divisors is an integer number (37871665425).

Almost surely, 29676053383040 is an apocalyptic number.

9676053383040 is a gapful number since it is divisible by the number (90) 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 9676053383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19390292697600).

9676053383040 is an abundant number, since it is smaller than the sum of its proper divisors (29104532012160).

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

9676053383040 is a wasteful number, since it uses less digits than its factorization.

9676053383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16372 (or 16354 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 9676053383040 in words is "nine trillion, six hundred seventy-six billion, fifty-three million, three hundred eighty-three thousand, forty".