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38982158721 = 321123121932
BaseRepresentation
bin100100010011100001…
…001000100110000001
310201121201210211202100
4210103201020212001
51114313413034341
625524054541013
72550004611342
oct442341104601
9121551724670
1038982158721
1115594459900
12767b067769
1338a323970c
141c5b3380c9
15103247e3b6
hex913848981

38982158721 has 81 divisors (see below), whose sum is σ = 64285774371. Its totient is φ = 22744972800.

The previous prime is 38982158707. The next prime is 38982158753. The reversal of 38982158721 is 12785128983.

The square root of 38982158721 is 197439.

It is a perfect power (a square), and thus also a powerful number.

38982158721 is a `hidden beast` number, since 38 + 9 + 8 + 2 + 1 + 587 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9444924225 + 29537234496 = 97185^2 + 171864^2 .

It is not a de Polignac number, because 38982158721 - 29 = 38982158209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38982158221) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 201980001 + ... + 201980193.

Almost surely, 238982158721 is an apocalyptic number.

38982158721 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

38982158721 is the 197439-th square number.

38982158721 is the 98720-th centered octagonal number.

It is an amenable number.

38982158721 is a deficient number, since it is larger than the sum of its proper divisors (25303615650).

38982158721 is a wasteful number, since it uses less digits than its factorization.

38982158721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 38982158721 in words is "thirty-eight billion, nine hundred eighty-two million, one hundred fifty-eight thousand, seven hundred twenty-one".

Divisors: 1 3 9 11 31 33 93 99 121 193 279 341 363 579 961 1023 1089 1737 2123 2883 3069 3751 5983 6369 8649 10571 11253 17949 19107 23353 31713 33759 37249 53847 65813 70059 95139 111747 116281 185473 197439 210177 335241 348843 409739 556419 592317 723943 1046529 1154719 1229217 1669257 2040203 2171829 3464157 3687651 4507129 6120609 6515487 10392471 12701909 13521387 18361827 22442233 35796289 38105727 40564161 67326699 107388867 114317181 139720999 201980097 322166601 393759179 419162997 1181277537 1257488991 3543832611 4331350969 12994052907 38982158721