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78530449200 = 243527101151613
BaseRepresentation
bin100100100100011000…
…1111000111100110000
321111200220220011021120
41021020301320330300
52241312243333300
6100024300022240
75450025542640
oct1111061707460
9244626804246
1078530449200
1130339433895
1213277831980
137536844128
143b2d920520
15209948b3a0
hex1248c78f30

78530449200 has 480 divisors, whose sum is σ = 292742310912. Its totient is φ = 17625600000.

The previous prime is 78530449199. The next prime is 78530449243. The reversal of 78530449200 is 294403587.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128108094 + ... + 128108706.

Almost surely, 278530449200 is an apocalyptic number.

78530449200 is a gapful number since it is divisible by the number (70) 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 78530449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146371155456).

78530449200 is an abundant number, since it is smaller than the sum of its proper divisors (214211861712).

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

78530449200 is a wasteful number, since it uses less digits than its factorization.

78530449200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 78530449200 in words is "seventy-eight billion, five hundred thirty million, four hundred forty-nine thousand, two hundred".