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1328653995 = 35232941279
BaseRepresentation
bin100111100110001…
…1010011010101011
310102121002121122020
41033030122122223
510210113411440
6335501355523
744632241544
oct11714323253
93377077566
101328653995
11621a99459
12310b68ba3
1318235b3c6
14c865d4cb
157b9a03d0
hex4f31a6ab

1328653995 has 96 divisors (see below), whose sum is σ = 2381875200. Its totient is φ = 630389760.

The previous prime is 1328653987. The next prime is 1328654003. The reversal of 1328653995 is 5993568231.

It is an interprime number because it is at equal distance from previous prime (1328653987) and next prime (1328654003).

It is not a de Polignac number, because 1328653995 - 23 = 1328653987 is a prime.

Its product of digits (1749600) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16818366 + ... + 16818444.

It is an arithmetic number, because the mean of its divisors is an integer number (24811200).

Almost surely, 21328653995 is an apocalyptic number.

1328653995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1328653995 is a deficient number, since it is larger than the sum of its proper divisors (1053221205).

1328653995 is a wasteful number, since it uses less digits than its factorization.

1328653995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 180 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 51.

The square root of 1328653995 is about 36450.7063717564. The cubic root of 1328653995 is about 1099.3533375487.

The spelling of 1328653995 in words is "one billion, three hundred twenty-eight million, six hundred fifty-three thousand, nine hundred ninety-five".

Divisors: 1 3 5 15 23 29 41 69 79 87 115 123 145 205 237 345 395 435 615 667 943 1185 1189 1681 1817 2001 2291 2829 3239 3335 3567 4715 5043 5451 5945 6873 8405 9085 9717 10005 11455 14145 16195 17835 25215 27255 27347 34365 38663 48585 48749 52693 74497 82041 93931 115989 132799 136735 146247 158079 193315 223491 243745 263465 281793 372485 398397 410205 469655 579945 663995 731235 790395 1117455 1121227 1408965 1991985 2160413 3054377 3363681 3851171 5606135 6481239 9163131 10802065 11553513 15271885 16818405 19255855 32406195 45815655 57767565 88576933 265730799 442884665 1328653995