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5505556056 = 233711131012269
BaseRepresentation
bin1010010000010100…
…00001111001011000
3112012200200020002120
411020022001321120
542233410243211
62310151101240
7253301311560
oct51012017130
915180606076
105505556056
112375819830
121097971820
1369980a8a0
143a32a1da0
1522351ad06
hex148281e58

5505556056 has 256 divisors, whose sum is σ = 18671385600. Its totient is φ = 1306368000.

The previous prime is 5505556039. The next prime is 5505556087. The reversal of 5505556056 is 6506555055.

It is a super-2 number, since 2×55055560562 = 60622294971516550272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5505555999 and 5505556017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2425290 + ... + 2427558.

It is an arithmetic number, because the mean of its divisors is an integer number (72935100).

Almost surely, 25505556056 is an apocalyptic number.

5505556056 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 5505556056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9335692800).

5505556056 is an abundant number, since it is smaller than the sum of its proper divisors (13165829544).

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

5505556056 is a wasteful number, since it uses less digits than its factorization.

5505556056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 42.

The square root of 5505556056 is about 74199.4343374665. The cubic root of 5505556056 is about 1765.7683559008.

It can be divided in two parts, 55055 and 56056, that added together give a palindrome (111111).

The spelling of 5505556056 in words is "five billion, five hundred five million, five hundred fifty-six thousand, fifty-six".