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5506280777088 = 273271359279191
BaseRepresentation
bin101000000100000011111…
…1010001110010110000000
3201111101200011201101002100
41100020013322032112000
51210203330334331323
615413314522350400
71105546525235130
oct120100772162600
921441604641070
105506280777088
111833222a4a823
1274b1a235b400
1330c317508090
14150710bc6ac0
159836e950943
hex50207e8e580

5506280777088 has 1152 divisors, whose sum is σ = 20193830092800. Its totient is φ = 1402141777920.

The previous prime is 5506280777083. The next prime is 5506280777093. The reversal of 5506280777088 is 8807770826055.

5506280777088 is a `hidden beast` number, since 550 + 6 + 2 + 8 + 0 + 7 + 7 + 70 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5506280777083) and next prime (5506280777093).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×55062807770882 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506280777083) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28828695073 + ... + 28828695263.

It is an arithmetic number, because the mean of its divisors is an integer number (17529366400).

Almost surely, 25506280777088 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 5506280777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096915046400).

5506280777088 is an abundant number, since it is smaller than the sum of its proper divisors (14687549315712).

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

5506280777088 is a wasteful number, since it uses less digits than its factorization.

5506280777088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 5506280777088 in words is "five trillion, five hundred six billion, two hundred eighty million, seven hundred seventy-seven thousand, eighty-eight".