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47492640000 = 283254134359
BaseRepresentation
bin101100001110110010…
…000010110100000000
311112120211210002022200
4230032302002310000
51234231103440000
633452352033200
73300624531201
oct541662026400
9145524702280
1047492640000
11191613a2403
129255232800
13462b464560
1424277255a8
15137e6b3500
hexb0ec82d00

47492640000 has 1080 divisors, whose sum is σ = 191755243680. Its totient is φ = 11225088000.

The previous prime is 47492639983. The next prime is 47492640007. The reversal of 47492640000 is 4629474.

47492640000 is a `hidden beast` number, since 4 + 7 + 4 + 9 + 2 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47492640007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 804959971 + ... + 804960029.

Almost surely, 247492640000 is an apocalyptic number.

47492640000 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 47492640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95877621840).

47492640000 is an abundant number, since it is smaller than the sum of its proper divisors (144262603680).

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

47492640000 is a wasteful number, since it uses less digits than its factorization.

47492640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 47492640000 in words is "forty-seven billion, four hundred ninety-two million, six hundred forty thousand".