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4778386661880 = 23325133317274243
BaseRepresentation
bin100010110001000111000…
…0010100010000111111000
3121220210211222112002211100
41011202032002202013320
51111242113441140010
614055054401331400
71002140606316426
oct105421602420770
917823758462740
104778386661880
111582558775557
12652100036b60
132887a5074630
141273bd016116
158446ba9a2c0
hex4588e0a21f8

4778386661880 has 384 divisors, whose sum is σ = 16801913157120. Its totient is φ = 1170775710720.

The previous prime is 4778386661843. The next prime is 4778386661897. The reversal of 4778386661880 is 881666838774.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4778386661799 and 4778386661808.

It is a congruent number.

It is an unprimeable number.

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, 1126179039 + ... + 1126183281.

It is an arithmetic number, because the mean of its divisors is an integer number (43754982180).

Almost surely, 24778386661880 is an apocalyptic number.

4778386661880 is a gapful number since it is divisible by the number (40) 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 4778386661880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400956578560).

4778386661880 is an abundant number, since it is smaller than the sum of its proper divisors (12023526495240).

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

4778386661880 is a wasteful number, since it uses less digits than its factorization.

4778386661880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 4778386661880 in words is "four trillion, seven hundred seventy-eight billion, three hundred eighty-six million, six hundred sixty-one thousand, eight hundred eighty".