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38373283881 = 321722321672
BaseRepresentation
bin100011101111001110…
…011101100000101001
310200001022002210111100
4203233032131200221
51112042030041011
625343424352013
72525632350132
oct435716354051
9120038083440
1038373283881
111530179a159
12752b175609
13380705444a
141c00520c89
15ee8cabd56
hex8ef39d829

38373283881 has 81 divisors (see below), whose sum is σ = 61922444311. Its totient is φ = 22892605824.

The previous prime is 38373283867. The next prime is 38373283889. The reversal of 38373283881 is 18838237383.

The square root of 38373283881 is 195891.

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

It can be written as a sum of positive squares in only one way, i.e., 29875394025 + 8497889856 = 172845^2 + 92184^2 .

It is not a de Polignac number, because 38373283881 - 211 = 38373281833 is a prime.

It is a super-2 number, since 2×383732838812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38373283889) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 229780060 + ... + 229780226.

Almost surely, 238373283881 is an apocalyptic number.

38373283881 is the 195891-st square number.

38373283881 is the 97946-th centered octagonal number.

It is an amenable number.

38373283881 is a deficient number, since it is larger than the sum of its proper divisors (23549160430).

38373283881 is a wasteful number, since it uses less digits than its factorization.

38373283881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 38373283881 in words is "thirty-eight billion, three hundred seventy-three million, two hundred eighty-three thousand, eight hundred eighty-one".

Divisors: 1 3 9 17 23 51 69 153 167 207 289 391 501 529 867 1173 1503 1587 2601 2839 3519 3841 4761 6647 8517 8993 11523 19941 25551 26979 27889 34569 48263 59823 65297 80937 83667 88343 144789 152881 195891 251001 265029 434367 458643 474113 587673 641447 795087 1110049 1375929 1422339 1501831 1924341 3330147 4267017 4505493 5773023 8059921 9990441 10904599 13516479 14753281 24179763 25531127 32713797 44259843 72539289 76593381 98141391 132779529 185378183 229780143 250805777 556134549 752417331 1668403647 2257251993 4263698209 12791094627 38373283881