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9800169984 = 2932112959113
BaseRepresentation
bin10010010000010001…
…01011101000000000
3221021222202012212200
421020020223220000
5130032320414414
64300243353200
7464600033103
oct111010535000
927258665780
109800169984
114179a38840
121a96082800
13c02492667
1468d7c673a
153c5589109
hex24822ba00

9800169984 has 480 divisors, whose sum is σ = 32747457600. Its totient is φ = 2793799680.

The previous prime is 9800169959. The next prime is 9800170001. The reversal of 9800169984 is 4899610089.

It is a self number, because there is not a number n which added to its sum of digits gives 9800169984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86727112 + ... + 86727224.

It is an arithmetic number, because the mean of its divisors is an integer number (68223870).

Almost surely, 29800169984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9800169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373728800).

9800169984 is an abundant number, since it is smaller than the sum of its proper divisors (22947287616).

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

9800169984 is a wasteful number, since it uses less digits than its factorization.

9800169984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9800169984 is about 98995.8079112444. The cubic root of 9800169984 is about 2139.9873338989.

The spelling of 9800169984 in words is "nine billion, eight hundred million, one hundred sixty-nine thousand, nine hundred eighty-four".