Search a number
-
+
880404426720 = 253357213463691
BaseRepresentation
bin11001100111111000011…
…00010110111111100000
310010011110220020211011000
430303330030112333200
5103411032013123340
61512241402152000
7120415146103200
oct14637414267740
93104426224130
10880404426720
1130a41738a635
121227657b2600
1365038b12930
143087cad8400
1517d7c04ad30
hexccfc316fe0

880404426720 has 1152 divisors, whose sum is σ = 3874170746880. Its totient is φ = 185086218240.

The previous prime is 880404426719. The next prime is 880404426731. The reversal of 880404426720 is 27624404088.

It is a super-3 number, since 3×8804044267203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1274101575 + ... + 1274102265.

It is an arithmetic number, because the mean of its divisors is an integer number (3362995440).

Almost surely, 2880404426720 is an apocalyptic number.

880404426720 is a gapful number since it is divisible by the number (80) 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 880404426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937085373440).

880404426720 is an abundant number, since it is smaller than the sum of its proper divisors (2993766320160).

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

880404426720 is a wasteful number, since it uses less digits than its factorization.

880404426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 880404426720 in words is "eight hundred eighty billion, four hundred four million, four hundred twenty-six thousand, seven hundred twenty".