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38221701128 = 231344092
BaseRepresentation
bin100011100110001100…
…001110000000001000
310122122201212121001022
4203212030032000020
51111234223414003
625320411412012
72522112045662
oct434614160010
9118581777038
1038221701128
1115234176856
1274a8454008
1337b1820000
141bc8343532
15eda818738
hex8e630e008

38221701128 has 60 divisors (see below), whose sum is σ = 77827908465. Its totient is φ = 17597653632.

The previous prime is 38221701083. The next prime is 38221701143. The reversal of 38221701128 is 82110712283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 3201070084 + 35020631044 = 56578^2 + 187138^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=138242.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 93451388 + ... + 93451796.

Almost surely, 238221701128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38221701128

38221701128 is an abundant number, since it is smaller than the sum of its proper divisors (39606207337).

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

38221701128 is an frugal number, since it uses more digits than its factorization.

38221701128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 38221701128 in words is "thirty-eight billion, two hundred twenty-one million, seven hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 409 676 818 1352 1636 2197 3272 4394 5317 8788 10634 17576 21268 28561 42536 57122 69121 114244 138242 167281 228488 276484 334562 552968 669124 898573 1338248 1797146 2174653 3594292 4349306 7188584 8698612 11681449 17397224 23362898 28270489 46725796 56540978 93451592 113081956 226163912 367516357 735032714 1470065428 2940130856 4777712641 9555425282 19110850564 38221701128