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38682253622070 = 232531374716747741
BaseRepresentation
bin10001100101110011010011…
…11111000111101100110110
312001221222122202122011010200
420302321221333013230312
520032232223411401240
6214134214302101330
711101462206456012
oct1062715177075466
9161858582564120
1038682253622070
11113640627a8543
124408a6857a846
13187794a97cca6
1497a334083542
15471332d3a930
hex232e69fc7b36

38682253622070 has 384 divisors, whose sum is σ = 109547017961472. Its totient is φ = 9448945228800.

The previous prime is 38682253621993. The next prime is 38682253622083. The reversal of 38682253622070 is 7022635228683.

38682253622070 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 2 + 2 + 5 + 3 + 622 + 0 + 7 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38682253621998 and 38682253622016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 810228400 + ... + 810276140.

It is an arithmetic number, because the mean of its divisors is an integer number (285278692608).

Almost surely, 238682253622070 is an apocalyptic number.

38682253622070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38682253622070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54773508980736).

38682253622070 is an abundant number, since it is smaller than the sum of its proper divisors (70864764339402).

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

38682253622070 is a wasteful number, since it uses less digits than its factorization.

38682253622070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48036 (or 48033 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 38682253622070 in words is "thirty-eight trillion, six hundred eighty-two billion, two hundred fifty-three million, six hundred twenty-two thousand, seventy".