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38406992247 = 32132911639733
BaseRepresentation
bin100011110001001111…
…000011000101110111
310200010122112100200100
4203301033003011313
51112124142222442
625351031045143
72526522022221
oct436117030567
9120118470610
1038406992247
1115319822808
12753a5107b3
133811027320
141c04bb7411
15eebc1984c
hex8f13c3177

38406992247 has 48 divisors (see below), whose sum is σ = 61863852960. Its totient is φ = 22798105344.

The previous prime is 38406992227. The next prime is 38406992249. The reversal of 38406992247 is 74229960483.

38406992247 is a `hidden beast` number, since 3 + 8 + 406 + 9 + 9 + 224 + 7 = 666.

It is not a de Polignac number, because 38406992247 - 226 = 38339883383 is a prime.

It is a super-2 number, since 2×384069922472 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38406992193 and 38406992202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38406992249) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3941193 + ... + 3950925.

It is an arithmetic number, because the mean of its divisors is an integer number (1288830270).

Almost surely, 238406992247 is an apocalyptic number.

38406992247 is a deficient number, since it is larger than the sum of its proper divisors (23456860713).

38406992247 is a wasteful number, since it uses less digits than its factorization.

38406992247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38406992247 in words is "thirty-eight billion, four hundred six million, nine hundred ninety-two thousand, two hundred forty-seven".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 1163 3393 3489 9733 10467 15119 29199 33727 45357 87597 101181 126529 136071 282257 303543 379587 438451 846771 1138761 1315353 2540313 3669341 3946059 11008023 11319479 33024069 33958437 101875311 147153227 328264891 441459681 984794673 1324379043 2954384019 4267443583 12802330749 38406992247