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47013120000 = 211325471153
BaseRepresentation
bin101011110010001100…
…110100100000000000
311111100102110221112200
4223302030310200000
51232240324320000
633333022153200
73253012632540
oct536214644000
9144312427480
1047013120000
1118a35753990
129140722800
134583000202
1423bdb81320
151352543500
hexaf2334800

47013120000 has 1440 divisors, whose sum is σ = 215532757440. Its totient is φ = 9584640000.

The previous prime is 47013119977. The next prime is 47013120013. The reversal of 47013120000 is 2131074.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 887039974 + ... + 887040026.

It is an arithmetic number, because the mean of its divisors is an integer number (149675526).

Almost surely, 247013120000 is an apocalyptic number.

47013120000 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 47013120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107766378720).

47013120000 is an abundant number, since it is smaller than the sum of its proper divisors (168519637440).

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

47013120000 is a wasteful number, since it uses less digits than its factorization.

47013120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 47013120000 its reverse (2131074), we get a palindrome (47015251074).

The spelling of 47013120000 in words is "forty-seven billion, thirteen million, one hundred twenty thousand".