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38229243444 = 22327151703347
BaseRepresentation
bin100011100110101000…
…111111011000110100
310122200021001210011100
4203212220333120310
51111243141242234
625321241210100
72522233131150
oct434650773064
9118607053140
1038229243444
1115238458477
1274aaa90930
1337b3261012
141bc9348060
15edb308399
hex8e6a3f634

38229243444 has 36 divisors (see below), whose sum is σ = 110440037344. Its totient is φ = 10922640912.

The previous prime is 38229243419. The next prime is 38229243463. The reversal of 38229243444 is 44434292283.

It is a happy number.

38229243444 is a `hidden beast` number, since 3 + 82 + 2 + 92 + 43 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×382292434442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38229243444.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 75851422 + ... + 75851925.

Almost surely, 238229243444 is an apocalyptic number.

It is an amenable number.

38229243444 is an abundant number, since it is smaller than the sum of its proper divisors (72210793900).

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

38229243444 is a wasteful number, since it uses less digits than its factorization.

38229243444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151703364 (or 151703359 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 38229243444 in words is "thirty-eight billion, two hundred twenty-nine million, two hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 151703347 303406694 455110041 606813388 910220082 1061923429 1365330123 1820440164 2123846858 2730660246 3185770287 4247693716 5461320492 6371540574 9557310861 12743081148 19114621722 38229243444