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9980936209153 = 721321205281513
BaseRepresentation
bin1001000100111101111000…
…1010000100001100000001
31022100011112121100100002201
42101033132022010030001
52302011424132143103
633121102341513201
72050045621655200
oct221173612041401
938304477310081
109980936209153
1131a8989318878
121152457412801
13575276714500
1426711930b237
151249614a751d
hex913de284301

9980936209153 has 18 divisors (see below), whose sum is σ = 12572291472534. Its totient is φ = 7897004466624.

The previous prime is 9980936209151. The next prime is 9980936209241. The reversal of 9980936209153 is 3519026390899.

It can be written as a sum of positive squares in 3 ways, for example, as 40744229904 + 9940191979249 = 201852^2 + 3152807^2 .

It is not a de Polignac number, because 9980936209153 - 21 = 9980936209151 is a prime.

It is a super-2 number, since 2×99809362091532 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9980936209151) 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 17 ways as a sum of consecutive naturals, for example, 602632476 + ... + 602649037.

It is an arithmetic number, because the mean of its divisors is an integer number (698460637363).

Almost surely, 29980936209153 is an apocalyptic number.

It is an amenable number.

9980936209153 is a deficient number, since it is larger than the sum of its proper divisors (2591355263381).

9980936209153 is a wasteful number, since it uses less digits than its factorization.

9980936209153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205281553 (or 1205281533 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 64.

The spelling of 9980936209153 in words is "nine trillion, nine hundred eighty billion, nine hundred thirty-six million, two hundred nine thousand, one hundred fifty-three".

Divisors: 1 7 13 49 91 169 637 1183 8281 1205281513 8436970591 15668659669 59058794137 109680617683 203692575697 767764323781 1425848029879 9980936209153