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9980936209152 = 2832172327140883
BaseRepresentation
bin1001000100111101111000…
…1010000100001100000000
31022100011112121100100002200
42101033132022010030000
52302011424132143102
633121102341513200
72050045621655166
oct221173612041400
938304477310080
109980936209152
1131a8989318877
121152457412800
135752767144cc
1426711930b236
151249614a751c
hex913de284300

9980936209152 has 432 divisors, whose sum is σ = 31913194779648. Its totient is φ = 2984006615040.

The previous prime is 9980936209151. The next prime is 9980936209241. The reversal of 9980936209152 is 2519026390899.

It is a super-2 number, since 2×99809362091522 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9980936209152.

It is not an unprimeable number, because it can be changed into a prime (9980936209151) 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, 244113703 + ... + 244154585.

It is an arithmetic number, because the mean of its divisors is an integer number (73873136064).

Almost surely, 29980936209152 is an apocalyptic number.

9980936209152 is a gapful number since it is divisible by the number (92) 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 9980936209152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956597389824).

9980936209152 is an abundant number, since it is smaller than the sum of its proper divisors (21932258570496).

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

9980936209152 is a wasteful number, since it uses less digits than its factorization.

9980936209152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41216 (or 41199 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 9980936209152 in words is "nine trillion, nine hundred eighty billion, nine hundred thirty-six million, two hundred nine thousand, one hundred fifty-two".