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38248388384283 = 327111926320275449
BaseRepresentation
bin10001011001001011001011…
…00110100101011000011011
312000102111202221122110022200
420230211211212211120123
520003130144411244113
6213203022252221243
711025232502006220
oct1054454546453033
9160374687573280
1038248388384283
1111207061122820
124358963a6a823
131845a6625040c
149633363a1947
15464ddd312873
hex22c9659a561b

38248388384283 has 192 divisors, whose sum is σ = 72830444544000. Its totient is φ = 18739277268480.

The previous prime is 38248388384281. The next prime is 38248388384287.

38248388384283 is a `hidden beast` number, since 3 + 82 + 48 + 3 + 8 + 83 + 8 + 428 + 3 = 666.

38248388384283 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38248388384283 - 21 = 38248388384281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38248388384281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7019338143 + ... + 7019343591.

It is an arithmetic number, because the mean of its divisors is an integer number (379325232000).

Almost surely, 238248388384283 is an apocalyptic number.

38248388384283 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38248388384283 is a deficient number, since it is larger than the sum of its proper divisors (34582056159717).

38248388384283 is a wasteful number, since it uses less digits than its factorization.

38248388384283 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7779 counting only the distinct ones).

The product of its digits is 1358954496, while the sum is 72.

The spelling of 38248388384283 in words is "thirty-eight trillion, two hundred forty-eight billion, three hundred eighty-eight million, three hundred eighty-four thousand, two hundred eighty-three".