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78530267088 = 243273131941157
BaseRepresentation
bin100100100100011000…
…1001100011111010000
321111200220112220110200
41021020301030133100
52241312222021323
6100024252055200
75450024154000
oct1111061143720
9244626486420
1078530267088
1130339319a89
1213277764500
1375367ac280
143b2d8b4000
152099452443
hex1248c4c7d0

78530267088 has 960 divisors, whose sum is σ = 299522496000. Its totient is φ = 19020718080.

The previous prime is 78530267077. The next prime is 78530267093. The reversal of 78530267088 is 88076203587.

78530267088 is a `hidden beast` number, since 7 + 8 + 530 + 26 + 7 + 0 + 88 = 666.

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, 500192706 + ... + 500192862.

It is an arithmetic number, because the mean of its divisors is an integer number (312002600).

Almost surely, 278530267088 is an apocalyptic number.

78530267088 is a gapful number since it is divisible by the number (78) 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 78530267088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149761248000).

78530267088 is an abundant number, since it is smaller than the sum of its proper divisors (220992228912).

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

78530267088 is a wasteful number, since it uses less digits than its factorization.

78530267088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 78530267088 in words is "seventy-eight billion, five hundred thirty million, two hundred sixty-seven thousand, eighty-eight".