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38542327684 = 22723723792
BaseRepresentation
bin100011111001010011…
…010011111110000100
310200111002012002222221
4203321103103332010
51112413313441214
625412303502124
72533054244200
oct437123237604
9120432162887
1038542327684
1115389159283
1275778b7944
133833090473
141c18b65b00
151008a4de24
hex8f94d3f84

38542327684 has 81 divisors (see below), whose sum is σ = 80852381253. Its totient is φ = 16029298656.

The previous prime is 38542327679. The next prime is 38542327709. The reversal of 38542327684 is 48672324583.

The square root of 38542327684 is 196322.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34488204100 + 4054123584 = 185710^2 + 63672^2 .

It is a super-2 number, since 2×385423276842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101694607 + ... + 101694985.

Almost surely, 238542327684 is an apocalyptic number.

38542327684 is the 196322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38542327684

38542327684 is an abundant number, since it is smaller than the sum of its proper divisors (42310053569).

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

38542327684 is an equidigital number, since it uses as much as digits as its factorization.

38542327684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 52.

The spelling of 38542327684 in words is "thirty-eight billion, five hundred forty-two million, three hundred twenty-seven thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 379 518 758 1036 1369 1516 1813 2653 2738 3626 5306 5476 7252 9583 10612 14023 18571 19166 28046 37142 38332 56092 67081 74284 98161 134162 143641 196322 268324 287282 392644 518851 574564 687127 1005487 1037702 1374254 2010974 2075404 2748508 3631957 4021948 5314717 7038409 7263914 10629434 14076818 14527828 21258868 25423699 28153636 37203019 50847398 74406038 101694796 148812076 196644529 260421133 393289058 520842266 786578116 1041684532 1376511703 2753023406 5506046812 9635581921 19271163842 38542327684