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78934026304 = 26722921732
BaseRepresentation
bin100100110000011010…
…1011010100001000000
321112202001021222222201
41021200311122201000
52243124102320204
6100132314042544
75463026103400
oct1114065324100
9245661258881
1078934026304
1130526222291
121336aa19454
13759c338953
143b6b376800
1520beb099a4
hex1260d5a840

78934026304 has 189 divisors, whose sum is σ = 189804502407. Its totient is φ = 32473555968.

The previous prime is 78934026229. The next prime is 78934026317. The reversal of 78934026304 is 40362043987.

The square root of 78934026304 is 280952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18441640000 + 60492386304 = 135800^2 + 245952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 456265962 + ... + 456266134.

Almost surely, 278934026304 is an apocalyptic number.

78934026304 is the 280952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78934026304

78934026304 is an abundant number, since it is smaller than the sum of its proper divisors (110870476103).

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

78934026304 is an equidigital number, since it uses as much as digits as its factorization.

78934026304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 78934026304 in words is "seventy-eight billion, nine hundred thirty-four million, twenty-six thousand, three hundred four".