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38848779612720 = 243557114173137
BaseRepresentation
bin10001101010101001011111…
…01101010111001000110000
312002112220111020122222100000
420311110233231113020300
520042444300040101340
6214342514420030000
711116505655154020
oct1065245755271060
9162486436588300
1038848779612720
1111418747340000
1244351a1832300
13188a568c6a82c
149844105a5a80
1547582c6aed30
hex23552fb57230

38848779612720 has 4800 divisors, whose sum is σ = 190928659783680. Its totient is φ = 7153820467200.

The previous prime is 38848779612701. The next prime is 38848779612779. The reversal of 38848779612720 is 2721697784883.

It is a happy number.

38848779612720 is a `hidden beast` number, since 3 + 8 + 8 + 487 + 79 + 6 + 1 + 2 + 72 + 0 = 666.

38848779612720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×388487796127202 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1049967016542 + ... + 1049967016578.

Almost surely, 238848779612720 is an apocalyptic number.

38848779612720 is a gapful number since it is divisible by the number (30) 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 38848779612720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95464329891840).

38848779612720 is an abundant number, since it is smaller than the sum of its proper divisors (152079880170960).

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

38848779612720 is a wasteful number, since it uses less digits than its factorization.

38848779612720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 38848779612720 in words is "thirty-eight trillion, eight hundred forty-eight billion, seven hundred seventy-nine million, six hundred twelve thousand, seven hundred twenty".