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38129055435669 = 3111960811890647
BaseRepresentation
bin10001010101101100111001…
…10011100000101110010101
312000000002202102122120022010
420222312130303200232111
514444201301142420134
6213032125105054433
711013506352456102
oct1052663463405625
9160002672576263
1038129055435669
1111170494853240
1243397bb627419
13183772930a313
1495b655897aa9
15461c56bc1ce9
hex22ad9cce0b95

38129055435669 has 16 divisors (see below), whose sum is σ = 58379415022080. Its totient is φ = 21892280632560.

The previous prime is 38129055435641. The next prime is 38129055435677. The reversal of 38129055435669 is 96653455092183.

38129055435669 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38129055435669 - 217 = 38129055304597 is a prime.

It is a super-2 number, since 2×381290554356692 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38129055435629) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30405944697 + ... + 30405945950.

It is an arithmetic number, because the mean of its divisors is an integer number (3648713438880).

Almost surely, 238129055435669 is an apocalyptic number.

It is an amenable number.

38129055435669 is a deficient number, since it is larger than the sum of its proper divisors (20250359586411).

38129055435669 is a wasteful number, since it uses less digits than its factorization.

38129055435669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60811890680.

The product of its (nonzero) digits is 209952000, while the sum is 66.

The spelling of 38129055435669 in words is "thirty-eight trillion, one hundred twenty-nine billion, fifty-five million, four hundred thirty-five thousand, six hundred sixty-nine".

Divisors: 1 3 11 19 33 57 209 627 60811890647 182435671941 668930797117 1155425922293 2006792391351 3466277766879 12709685145223 38129055435669