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54565616226 = 231124771101223
BaseRepresentation
bin110010110100010111…
…010011101001100010
312012211202211111200010
4302310113103221202
51343222244204401
641022254305350
73641121041142
oct626427235142
9165752744603
1054565616226
1121160960100
12a6a9ab8256
1351b790b8a4
1428d8c3a922
1516455e4ed6
hexcb45d3a62

54565616226 has 192 divisors, whose sum is σ = 126024450048. Its totient is φ = 15726480000.

The previous prime is 54565616207. The next prime is 54565616257. The reversal of 54565616226 is 62261656545.

54565616226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×545656162262 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244688751 + ... + 244688973.

It is an arithmetic number, because the mean of its divisors is an integer number (656377344).

Almost surely, 254565616226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54565616226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63012225024).

54565616226 is an abundant number, since it is smaller than the sum of its proper divisors (71458833822).

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

54565616226 is a wasteful number, since it uses less digits than its factorization.

54565616226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 48.

The spelling of 54565616226 in words is "fifty-four billion, five hundred sixty-five million, six hundred sixteen thousand, two hundred twenty-six".