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38440462537680 = 243572385310691091
BaseRepresentation
bin10001011110110000111100…
…00111010101001111010000
312001002212112221001102020220
420233120132013111033100
520014302031402201210
6213431145452033040
711045142332245560
oct1057303607251720
9161085487042226
1038440462537680
1111280565a64075
12438a029162780
13185abc64c0618
1496c75799cda0
15469dd0a37c70
hex22f61e1d53d0

38440462537680 has 640 divisors, whose sum is σ = 142540556820480. Its totient is φ = 8378981867520.

The previous prime is 38440462537651. The next prime is 38440462537699. The reversal of 38440462537680 is 8673526404483.

38440462537680 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 2×384404625376802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 35234153935 + ... + 35234155025.

It is an arithmetic number, because the mean of its divisors is an integer number (222719620032).

Almost surely, 238440462537680 is an apocalyptic number.

38440462537680 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 38440462537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71270278410240).

38440462537680 is an abundant number, since it is smaller than the sum of its proper divisors (104100094282800).

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

38440462537680 is a wasteful number, since it uses less digits than its factorization.

38440462537680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 38440462537680 in words is "thirty-eight trillion, four hundred forty billion, four hundred sixty-two million, five hundred thirty-seven thousand, six hundred eighty".