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53356216320 = 214345111743
BaseRepresentation
bin110001101100010001…
…110100000000000000
312002201111010121220000
4301230101310000000
51333233142410240
640302252520000
73566134232661
oct615421640000
9162644117800
1053356216320
11206a0214050
12a410a80000
1350541a5a44
142822381368
1515c434e430
hexc6c474000

53356216320 has 1200 divisors, whose sum is σ = 226089154368. Its totient is φ = 11890851840.

The previous prime is 53356216301. The next prime is 53356216327. The reversal of 53356216320 is 2361265335.

53356216320 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 621 + 6 + 3 + 20 = 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 (53356216327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1240842219 + ... + 1240842261.

Almost surely, 253356216320 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 53356216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113044577184).

53356216320 is an abundant number, since it is smaller than the sum of its proper divisors (172732938048).

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

53356216320 is a wasteful number, since it uses less digits than its factorization.

53356216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 53356216320 in words is "fifty-three billion, three hundred fifty-six million, two hundred sixteen thousand, three hundred twenty".