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9980332557840 = 24325101397345701
BaseRepresentation
bin1001000100111011101000…
…1011010100011000010000
31022100002222112110200011200
42101032322023110120100
52302004210113322330
633120522415311200
72050024642010631
oct221167213243020
938302875420150
109980332557840
1131a86a95a6697
12115230921b500
135751ab63a998
1426709d093888
151249284b7a60
hex913ba2d4610

9980332557840 has 240 divisors, whose sum is σ = 33934498271856. Its totient is φ = 2628426240000.

The previous prime is 9980332557781. The next prime is 9980332557847. The reversal of 9980332557840 is 487552330899.

9980332557840 is a `hidden beast` number, since 9 + 9 + 8 + 0 + 3 + 32 + 557 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23859127296 + 9956473430544 = 154464^2 + 3155388^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×99803325578402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9980332557847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28696990 + ... + 29042690.

Almost surely, 29980332557840 is an apocalyptic number.

9980332557840 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 9980332557840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16967249135928).

9980332557840 is an abundant number, since it is smaller than the sum of its proper divisors (23954165714016).

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

9980332557840 is a wasteful number, since it uses less digits than its factorization.

9980332557840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346218 (or 346209 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 9980332557840 in words is "nine trillion, nine hundred eighty billion, three hundred thirty-two million, five hundred fifty-seven thousand, eight hundred forty".