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55201741056 = 283472112449
BaseRepresentation
bin110011011010010001…
…111011100100000000
312021111002210222220000
4303122101323210000
51401023121203211
641205340520000
73662644025400
oct633221734400
9167432728800
1055201741056
1121457a42100
12a846b50000
135289645207
142959508800
15168139b656
hexcda47b900

55201741056 has 810 divisors, whose sum is σ = 210933364950. Its totient is φ = 14306181120.

The previous prime is 55201741043. The next prime is 55201741057. The reversal of 55201741056 is 65014710255.

55201741056 is a `hidden beast` number, since 5 + 520 + 1 + 74 + 10 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49177497600 + 6024243456 = 221760^2 + 77616^2 .

It is a super-2 number, since 2×552017410562 (a number of 22 digits) contains 22 as substring.

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 55201741056.

It is not an unprimeable number, because it can be changed into a prime (55201741057) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 122943520 + ... + 122943968.

Almost surely, 255201741056 is an apocalyptic number.

55201741056 is a gapful number since it is divisible by the number (56) 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 55201741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105466682475).

55201741056 is an abundant number, since it is smaller than the sum of its proper divisors (155731623894).

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

55201741056 is a wasteful number, since it uses less digits than its factorization.

55201741056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 55201741056 in words is "fifty-five billion, two hundred one million, seven hundred forty-one thousand, fifty-six".