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47464122240 = 2732511372923
BaseRepresentation
bin101100001101000101…
…010000011110000000
311112111212010020022100
4230031011100132000
51234201303402430
633445452510400
73300130245063
oct541505203600
9145455106270
1047464122240
1119147294607
12924777b400
13462558b142
142423a208da
15137be2d960
hexb0d150780

47464122240 has 192 divisors, whose sum is σ = 165352253040. Its totient is φ = 12544917504.

The previous prime is 47464122221. The next prime is 47464122253. The reversal of 47464122240 is 4222146474.

47464122240 is a `hidden beast` number, since 4 + 7 + 4 + 641 + 2 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 47464122195 and 47464122204.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 614419 + ... + 687341.

Almost surely, 247464122240 is an apocalyptic number.

47464122240 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 47464122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82676126520).

47464122240 is an abundant number, since it is smaller than the sum of its proper divisors (117888130800).

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

47464122240 is a wasteful number, since it uses less digits than its factorization.

47464122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73061 (or 73046 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 47464122240 in words is "forty-seven billion, four hundred sixty-four million, one hundred twenty-two thousand, two hundred forty".