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997128816 = 243191278609
BaseRepresentation
bin111011011011101…
…111101001110000
32120111021101120220
4323123233221300
54020231110231
6242535533040
733465312045
oct7333575160
92514241526
10997128816
11471942702
12239b2a180
1312b773368
14966011cc
155c815896
hex3b6efa70

997128816 has 80 divisors (see below), whose sum is σ = 2733158400. Its totient is φ = 312367104.

The previous prime is 997128791. The next prime is 997128833. The reversal of 997128816 is 618821799.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111520 + ... + 120128.

It is an arithmetic number, because the mean of its divisors is an integer number (34164480).

Almost surely, 2997128816 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 997128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366579200).

997128816 is an abundant number, since it is smaller than the sum of its proper divisors (1736029584).

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

997128816 is a wasteful number, since it uses less digits than its factorization.

997128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8760 counting only the distinct ones).

The product of its digits is 435456, while the sum is 51.

The square root of 997128816 is about 31577.3465636364. The cubic root of 997128816 is about 999.0420212364.

The spelling of 997128816 in words is "nine hundred ninety-seven million, one hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 127 152 228 254 304 381 456 508 762 912 1016 1524 2032 2413 3048 4826 6096 7239 8609 9652 14478 17218 19304 25827 28956 34436 38608 51654 57912 68872 103308 115824 137744 163571 206616 327142 413232 490713 654284 981426 1093343 1308568 1962852 2186686 2617136 3280029 3925704 4373372 6560058 7851408 8746744 13120116 17493488 20773517 26240232 41547034 52480464 62320551 83094068 124641102 166188136 249282204 332376272 498564408 997128816