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47843332938 = 2334741774513
BaseRepresentation
bin101100100011101011…
…110101001101001010
311120111021200010121000
4230203223311031022
51240440343123223
633551240355430
73312413422452
oct544353651512
9146437603530
1047843332938
1119321350185
129332775b76
134686000c7b
14245c132d62
1513a0387543
hexb23af534a

47843332938 has 64 divisors (see below), whose sum is σ = 108630673920. Its totient is φ = 15601268736.

The previous prime is 47843332937. The next prime is 47843332967. The reversal of 47843332938 is 83923334874.

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 Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47843332937) 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 31 ways as a sum of consecutive naturals, for example, 10598970 + ... + 10603482.

It is an arithmetic number, because the mean of its divisors is an integer number (1697354280).

Almost surely, 247843332938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47843332938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54315336960).

47843332938 is an abundant number, since it is smaller than the sum of its proper divisors (60787340982).

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

47843332938 is a wasteful number, since it uses less digits than its factorization.

47843332938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8742 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 47843332938 in words is "forty-seven billion, eight hundred forty-three million, three hundred thirty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 4177 4513 8354 9026 12531 13539 25062 27078 37593 40617 75186 81234 112779 121851 196319 212111 225558 243702 392638 424222 588957 636333 1177914 1272666 1766871 1908999 3533742 3817998 5300613 5726997 10601226 11453994 18850801 37701602 56552403 113104806 169657209 339314418 508971627 885987647 1017943254 1771975294 2657962941 5315925882 7973888823 15947777646 23921666469 47843332938