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55153223136 = 25331123924281
BaseRepresentation
bin110011010111011000…
…110110010111100000
312021100201112000211000
4303113120312113200
51400423211120021
641200444552000
73661514442624
oct632730662740
9167321460730
1055153223136
1121432613950
12a832852600
13527c58859b
142952cb9184
15167beb5b26
hexcd76365e0

55153223136 has 192 divisors, whose sum is σ = 176229043200. Its totient is φ = 16642483200.

The previous prime is 55153223077. The next prime is 55153223243. The reversal of 55153223136 is 63132235155.

55153223136 is a `hidden beast` number, since 5 + 5 + 15 + 322 + 313 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55153223136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2259316 + ... + 2283596.

It is an arithmetic number, because the mean of its divisors is an integer number (917859600).

Almost surely, 255153223136 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 55153223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88114521600).

55153223136 is an abundant number, since it is smaller than the sum of its proper divisors (121075820064).

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

55153223136 is a wasteful number, since it uses less digits than its factorization.

55153223136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24550 (or 24536 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The spelling of 55153223136 in words is "fifty-five billion, one hundred fifty-three million, two hundred twenty-three thousand, one hundred thirty-six".