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47731643520 = 27351121110711
BaseRepresentation
bin101100011101000001…
…110001010010000000
311120012111111201111220
4230131001301102000
51240223300043040
633532210435040
73306556163361
oct543501612200
9146174451456
1047731643520
11192742a5280
129301292a80
134668b26962
14244b37bb68
1513956742d0
hexb1d071480

47731643520 has 256 divisors, whose sum is σ = 166778127360. Its totient is φ = 11515392000.

The previous prime is 47731643473. The next prime is 47731643537. The reversal of 47731643520 is 2534613774.

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 31 ways as a sum of consecutive naturals, for example, 4450965 + ... + 4461675.

It is an arithmetic number, because the mean of its divisors is an integer number (651477060).

Almost surely, 247731643520 is an apocalyptic number.

47731643520 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 47731643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83389063680).

47731643520 is an abundant number, since it is smaller than the sum of its proper divisors (119046483840).

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

47731643520 is a wasteful number, since it uses less digits than its factorization.

47731643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 47731643520 in words is "forty-seven billion, seven hundred thirty-one million, six hundred forty-three thousand, five hundred twenty".