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38991297213792 = 253271119233722939
BaseRepresentation
bin10001101110110010111100…
…11010110111010101100000
312010001112100112200020111100
420313121132122313111200
520102313134041320132
6214532204334514400
711133012456610110
oct1067313632672540
9163045315606440
1038991297213792
111147313085a090
124458936665a00
13189ab2c2b24b1
1498b290307040
154793be43737c
hex23765e6b7560

38991297213792 has 1728 divisors, whose sum is σ = 156112543641600. Its totient is φ = 8926345359360.

The previous prime is 38991297213749. The next prime is 38991297213793. The reversal of 38991297213792 is 29731279219983.

38991297213792 is a `hidden beast` number, since 3 + 89 + 91 + 2 + 97 + 2 + 1 + 379 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38991297213792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38991297213793) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13266857059 + ... + 13266859997.

It is an arithmetic number, because the mean of its divisors is an integer number (90342907200).

Almost surely, 238991297213792 is an apocalyptic number.

38991297213792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38991297213792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78056271820800).

38991297213792 is an abundant number, since it is smaller than the sum of its proper divisors (117121246427808).

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

38991297213792 is a wasteful number, since it uses less digits than its factorization.

38991297213792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3041 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 38991297213792 in words is "thirty-eight trillion, nine hundred ninety-one billion, two hundred ninety-seven million, two hundred thirteen thousand, seven hundred ninety-two".