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47731386560 = 265111321941103
BaseRepresentation
bin101100011101000000…
…110010100011000000
311120012111000200000212
4230131000302203000
51240223213332220
633532201133252
73306554043254
oct543500624300
9146174020025
1047731386560
111927413a210
12930118a228
134668a66a00
14244b312264
1513956230c5
hexb1d0328c0

47731386560 has 672 divisors, whose sum is σ = 146184030720. Its totient is φ = 14664499200.

The previous prime is 47731386559. The next prime is 47731386587. The reversal of 47731386560 is 6568313774.

It is a junction number, because it is equal to n+sod(n) for n = 47731386499 and 47731386508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463411469 + ... + 463411571.

It is an arithmetic number, because the mean of its divisors is an integer number (217535760).

Almost surely, 247731386560 is an apocalyptic number.

47731386560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47731386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73092015360).

47731386560 is an abundant number, since it is smaller than the sum of its proper divisors (98452644160).

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

47731386560 is a wasteful number, since it uses less digits than its factorization.

47731386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 47731386560 in words is "forty-seven billion, seven hundred thirty-one million, three hundred eighty-six thousand, five hundred sixty".