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47368215360 = 2632564325579
BaseRepresentation
bin101100000111010111…
…011001101101000000
311112021011122122210200
4230013113121231000
51234002230342420
633432145125200
73264554121144
oct540727315500
9145234578720
1047368215360
11190a8139324
12921b629800
13460b74b6cb
142414db7224
1513737d6b90
hexb075d9b40

47368215360 has 168 divisors, whose sum is σ = 163186689120. Its totient is φ = 12611386368.

The previous prime is 47368215341. The next prime is 47368215361. The reversal of 47368215360 is 6351286374.

47368215360 is a `hidden beast` number, since 4 + 7 + 36 + 82 + 1 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47368215361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1839051 + ... + 1864629.

It is an arithmetic number, because the mean of its divisors is an integer number (971349340).

Almost surely, 247368215360 is an apocalyptic number.

47368215360 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 47368215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81593344560).

47368215360 is an abundant number, since it is smaller than the sum of its proper divisors (115818473760).

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

47368215360 is a wasteful number, since it uses less digits than its factorization.

47368215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26245 (or 26232 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 47368215360 in words is "forty-seven billion, three hundred sixty-eight million, two hundred fifteen thousand, three hundred sixty".