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992995668 = 2232710936151
BaseRepresentation
bin111011001011111…
…110100101010100
32120012111101222100
4323023332211110
54013201330133
6242311202100
733415216050
oct7313764524
92505441870
10992995668
1146a57a385
12238676330
1312a957002
1495c46c60
155c29ae13
hex3b2fe954

992995668 has 72 divisors (see below), whose sum is σ = 2895052160. Its totient is φ = 281102400.

The previous prime is 992995667. The next prime is 992995669. The reversal of 992995668 is 866599299.

It is an interprime number because it is at equal distance from previous prime (992995667) and next prime (992995669).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992995667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9393 + ... + 45543.

Almost surely, 2992995668 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 992995668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447526080).

992995668 is an abundant number, since it is smaller than the sum of its proper divisors (1902056492).

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

992995668 is a wasteful number, since it uses less digits than its factorization.

992995668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36277 (or 36272 counting only the distinct ones).

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

The square root of 992995668 is about 31511.8337771701. The cubic root of 992995668 is about 997.6597501697.

The spelling of 992995668 in words is "nine hundred ninety-two million, nine hundred ninety-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 218 252 327 436 654 763 981 1308 1526 1962 2289 3052 3924 4578 6867 9156 13734 27468 36151 72302 108453 144604 216906 253057 325359 433812 506114 650718 759171 1012228 1301436 1518342 2277513 3036684 3940459 4555026 7880918 9110052 11821377 15761836 23642754 27583213 35464131 47285508 55166426 70928262 82749639 110332852 141856524 165499278 248248917 330998556 496497834 992995668