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38385821929 = 7213221532
BaseRepresentation
bin100011101111111110…
…010010100011101001
310200002011200210110111
4203233332102203221
51112103232300204
625344553214321
72526144050200
oct435776224351
9120064623414
1038385821929
1115308883184
1275334013a1
133809824300
141c02066237
15ee9e36d04
hex8eff928e9

38385821929 has 27 divisors (see below), whose sum is σ = 48374419653. Its totient is φ = 30357093312.

The previous prime is 38385821927. The next prime is 38385821941. The reversal of 38385821929 is 92912858383.

The square root of 38385821929 is 195923.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23584666329 + 14801155600 = 153573^2 + 121660^2 .

It is not a de Polignac number, because 38385821929 - 21 = 38385821927 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38385821927) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17827917 + ... + 17830069.

Almost surely, 238385821929 is an apocalyptic number.

38385821929 is the 195923-rd square number.

38385821929 is the 97962-nd centered octagonal number.

It is an amenable number.

38385821929 is a deficient number, since it is larger than the sum of its proper divisors (9988597724).

38385821929 is an frugal number, since it uses more digits than its factorization.

38385821929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 2173 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 58.

The spelling of 38385821929 in words is "thirty-eight billion, three hundred eighty-five million, eight hundred twenty-one thousand, nine hundred twenty-nine".

Divisors: 1 7 13 49 91 169 637 1183 2153 8281 15071 27989 105497 195923 363857 1371461 2546999 4635409 17828993 32447863 60260317 227135041 421822219 783384121 2952755533 5483688847 38385821929