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38837000385 = 3251933344641
BaseRepresentation
bin100100001010110111…
…011001100011000001
310201020121200000221200
4210022313121203001
51114014233003020
625501431411413
72543263025241
oct441267314301
9121217600850
1038837000385
111551a524237
12763a523b69
13387c144501
141c45d4db21
151024859590
hex90add98c1

38837000385 has 24 divisors (see below), whose sum is σ = 67322457384. Its totient is φ = 20711531520.

The previous prime is 38837000329. The next prime is 38837000387. The reversal of 38837000385 is 58300073883.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16933296384 + 21903704001 = 130128^2 + 147999^2 .

It is not a de Polignac number, because 38837000385 - 216 = 38836934849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 38837000385.

It is not an unprimeable number, because it can be changed into a prime (38837000387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847665 + ... + 892305.

It is an arithmetic number, because the mean of its divisors is an integer number (2805102391).

Almost surely, 238837000385 is an apocalyptic number.

It is an amenable number.

38837000385 is a deficient number, since it is larger than the sum of its proper divisors (28485456999).

38837000385 is a wasteful number, since it uses less digits than its factorization.

38837000385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63985 (or 63982 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 38837000385 in words is "thirty-eight billion, eight hundred thirty-seven million, three hundred eighty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 45 19333 44641 57999 96665 133923 173997 223205 289995 401769 669615 869985 2008845 863044453 2589133359 4315222265 7767400077 12945666795 38837000385