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53471205216 = 253811132137
BaseRepresentation
bin110001110011001000…
…011101011101100000
312010000111111200000000
4301303020131131200
51334002112031331
640321521300000
73602031513402
oct616310353540
9163014450000
1053471205216
112074a1129a0
12a443494600
135071c66b00
142833754b72
1515ce4b50e6
hexc7321d760

53471205216 has 648 divisors, whose sum is σ = 187884608184. Its totient is φ = 14847805440.

The previous prime is 53471205211. The next prime is 53471205239. The reversal of 53471205216 is 61250217435.

53471205216 is a `hidden beast` number, since 5 + 3 + 4 + 7 + 120 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 (53471205211) 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 107 ways as a sum of consecutive naturals, for example, 390300700 + ... + 390300836.

It is an arithmetic number, because the mean of its divisors is an integer number (289945383).

Almost surely, 253471205216 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 53471205216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93942304092).

53471205216 is an abundant number, since it is smaller than the sum of its proper divisors (134413402968).

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

53471205216 is a wasteful number, since it uses less digits than its factorization.

53471205216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 53471205216 in words is "fifty-three billion, four hundred seventy-one million, two hundred five thousand, two hundred sixteen".