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997641216 = 210321113757
BaseRepresentation
bin111011011101101…
…100110000000000
32120112020102110200
4323131230300000
54020344004331
6242554525200
733502544655
oct7335546000
92515212420
10997641216
11472162680
1223a136800
1312b8c2660
14966d5c2c
155c8b75e6
hex3b76cc00

997641216 has 264 divisors, whose sum is σ = 3388751184. Its totient is φ = 278691840.

The previous prime is 997641199. The next prime is 997641221. The reversal of 997641216 is 612146799.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317510 + ... + 1318266.

Almost surely, 2997641216 is an apocalyptic number.

997641216 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 997641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694375592).

997641216 is an abundant number, since it is smaller than the sum of its proper divisors (2391109968).

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

997641216 is a wasteful number, since it uses less digits than its factorization.

997641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 786 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 997641216 is about 31585.4589328697. The cubic root of 997641216 is about 999.2131196484.

The spelling of 997641216 in words is "nine hundred ninety-seven million, six hundred forty-one thousand, two hundred sixteen".