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5018404776 = 233721123101167
BaseRepresentation
bin1001010110001111…
…01100011110101000
3110221202000101011120
410223013230132220
540234202423101
62145545455240
7235234510500
oct45307543650
913852011146
105018404776
112145838870
12b807a1520
1361c903ba8
143586d2a00
151e588eb36
hex12b1ec7a8

5018404776 has 384 divisors, whose sum is σ = 16878274560. Its totient is φ = 1227072000.

The previous prime is 5018404771. The next prime is 5018404793. The reversal of 5018404776 is 6774048105.

It is a super-2 number, since 2×50184047762 = 50368772991559220352, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5018404771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30050245 + ... + 30050411.

It is an arithmetic number, because the mean of its divisors is an integer number (43953840).

Almost surely, 25018404776 is an apocalyptic number.

5018404776 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 5018404776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439137280).

5018404776 is an abundant number, since it is smaller than the sum of its proper divisors (11859869784).

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

5018404776 is a wasteful number, since it uses less digits than its factorization.

5018404776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 5018404776 is about 70840.6999965415. The cubic root of 5018404776 is about 1712.0714925235.

The spelling of 5018404776 in words is "five billion, eighteen million, four hundred four thousand, seven hundred seventy-six".