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987081216 = 29311247113
BaseRepresentation
bin111010110101011…
…010101000000000
32112210100220212120
4322311122220000
54010143044331
6241540324240
733314023542
oct7265325000
92483326776
10987081216
114671aa800
122366a3680
13129665c34
1495147692
155b9cd796
hex3ad5aa00

987081216 has 240 divisors, whose sum is σ = 2978059392. Its totient is φ = 290160640.

The previous prime is 987081209. The next prime is 987081223. The reversal of 987081216 is 612180789.

It is an interprime number because it is at equal distance from previous prime (987081209) and next prime (987081223).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8735176 + ... + 8735288.

Almost surely, 2987081216 is an apocalyptic number.

987081216 is a gapful number since it is divisible by the number (96) 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 987081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489029696).

987081216 is an abundant number, since it is smaller than the sum of its proper divisors (1990978176).

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

987081216 is a wasteful number, since it uses less digits than its factorization.

987081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 987081216 is about 31417.8486851025. The cubic root of 987081216 is about 995.6750605314.

The spelling of 987081216 in words is "nine hundred eighty-seven million, eighty-one thousand, two hundred sixteen".