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47960047872 = 2832112712423
BaseRepresentation
bin101100101010101001…
…000100000100000000
311120210102021212101100
4230222221010010000
51241210233012442
634011010134400
73315331452312
oct545251040400
9146712255340
1047960047872
1119381218900
129365881400
1346a4247869
14246d8357b2
1513aa73e84c
hexb2aa44100

47960047872 has 324 divisors, whose sum is σ = 154198804032. Its totient is φ = 14322739200.

The previous prime is 47960047867. The next prime is 47960047901. The reversal of 47960047872 is 27874006974.

47960047872 is a `hidden beast` number, since 47 + 9 + 60 + 0 + 478 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19792453 + ... + 19794875.

Almost surely, 247960047872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47960047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77099402016).

47960047872 is an abundant number, since it is smaller than the sum of its proper divisors (106238756160).

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

47960047872 is a wasteful number, since it uses less digits than its factorization.

47960047872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 47960047872 in words is "forty-seven billion, nine hundred sixty million, forty-seven thousand, eight hundred seventy-two".