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10384044433038 = 23210712742452819
BaseRepresentation
bin1001011100011011100101…
…0001111001111010001110
31100202201000220120211200200
42113012321101321322032
52330113010333324123
634030210354034330
72121136205225343
oct227067121717216
940681026524620
1010384044433038
113343937409841
1211b85b75789a6
135a4298c99b83
1427c83a2087ca
151301a5bc1143
hex971b9479e8e

10384044433038 has 48 divisors (see below), whose sum is σ = 22887843563520. Its totient is φ = 3401999023248.

The previous prime is 10384044433013. The next prime is 10384044433117. The reversal of 10384044433038 is 83033444048301.

10384044433038 is a `hidden beast` number, since 103 + 8 + 40 + 4 + 443 + 30 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10384044432984 and 10384044433002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20981808 + ... + 21471011.

It is an arithmetic number, because the mean of its divisors is an integer number (476830074240).

Almost surely, 210384044433038 is an apocalyptic number.

10384044433038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10384044433038 is an abundant number, since it is smaller than the sum of its proper divisors (12503799130482).

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

10384044433038 is a wasteful number, since it uses less digits than its factorization.

10384044433038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42453061 (or 42453058 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 10384044433038 in words is "ten trillion, three hundred eighty-four billion, forty-four million, four hundred thirty-three thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 107 127 214 254 321 381 642 762 963 1143 1926 2286 13589 27178 40767 81534 122301 244602 42452819 84905638 127358457 254716914 382075371 764150742 4542451633 5391508013 9084903266 10783016026 13627354899 16174524039 27254709798 32349048078 40882064697 48523572117 81764129394 97047144234 576891357391 1153782714782 1730674072173 3461348144346 5192022216519 10384044433038