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9680053743360 = 2832571121317672
BaseRepresentation
bin1000110011011101000000…
…1010100010111100000000
31021021101220120220101212100
42030313100022202330000
52232044222224241420
632330542202230400
72016234520133130
oct214672012427400
937241816811770
109680053743360
1130a2318a85a00
1211040864b5400
13552a95b1b1c0
14256734cd4ac0
1511bc015d2190
hex8cdd02a2f00

9680053743360 has 3888 divisors, whose sum is σ = 48700867819968. Its totient is φ = 1721413140480.

The previous prime is 9680053743337. The next prime is 9680053743361. The reversal of 9680053743360 is 633473500869.

9680053743360 is a `hidden beast` number, since 9 + 6 + 8 + 0 + 0 + 537 + 43 + 3 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9680053743297 and 9680053743306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9680053743361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 144478414047 + ... + 144478414113.

Almost surely, 29680053743360 is an apocalyptic number.

9680053743360 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 9680053743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24350433909984).

9680053743360 is an abundant number, since it is smaller than the sum of its proper divisors (39020814076608).

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

9680053743360 is a wasteful number, since it uses less digits than its factorization.

9680053743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 125 counting only the distinct ones).

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

The spelling of 9680053743360 in words is "nine trillion, six hundred eighty billion, fifty-three million, seven hundred forty-three thousand, three hundred sixty".