Search a number
-
+
78530600332120 = 235172223283310753
BaseRepresentation
bin10001110110110001010100…
…100010010110101101011000
3101022001110012120010211010111
4101312301110202112231120
540243121132141111440
6435004243150054104
722353435325042126
oct2166612442265530
9338043176124114
1078530600332120
1123027705665232
12898390b1aa334
1334a85332c4811
141556c893a4916
15912b63c4e4ea
hex476c54896b58

78530600332120 has 192 divisors, whose sum is σ = 188624795224320. Its totient is φ = 29418760175616.

The previous prime is 78530600332043. The next prime is 78530600332141. The reversal of 78530600332120 is 2123300603587.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7303128664 + ... + 7303139416.

It is an arithmetic number, because the mean of its divisors is an integer number (982420808460).

Almost surely, 278530600332120 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 78530600332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94312397612160).

78530600332120 is an abundant number, since it is smaller than the sum of its proper divisors (110094194892200).

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

78530600332120 is a wasteful number, since it uses less digits than its factorization.

78530600332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13854 (or 13833 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 78530600332120 in words is "seventy-eight trillion, five hundred thirty billion, six hundred million, three hundred thirty-two thousand, one hundred twenty".