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78216116778075 = 35220992129233371
BaseRepresentation
bin10001110010001100011011…
…110110110011010001011011
3101020221101110122212000100210
4101302030123312303101123
540222443101343344300
6434203553224102203
722321633200661413
oct2162143366632133
9336841418760323
1078216116778075
1122a162a5916461
128932983304963
13348499593c7b3
141545974875643
159098a9c92050
hex47231bdb345b

78216116778075 has 48 divisors (see below), whose sum is σ = 129440246544000. Its totient is φ = 41675625331200.

The previous prime is 78216116778053. The next prime is 78216116778091. The reversal of 78216116778075 is 57087761161287.

It is not a de Polignac number, because 78216116778075 - 26 = 78216116778011 is a prime.

It is a super-2 number, since 2×782161167780752 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78216116777997 and 78216116778015.

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, 335041140 + ... + 335274510.

It is an arithmetic number, because the mean of its divisors is an integer number (2696671803000).

Almost surely, 278216116778075 is an apocalyptic number.

78216116778075 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78216116778075 is a deficient number, since it is larger than the sum of its proper divisors (51224129765925).

78216116778075 is a wasteful number, since it uses less digits than its factorization.

78216116778075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237612 (or 237607 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 66.

The spelling of 78216116778075 in words is "seventy-eight trillion, two hundred sixteen billion, one hundred sixteen million, seven hundred seventy-eight thousand, seventy-five".

Divisors: 1 3 5 15 25 75 2099 2129 6297 6387 10495 10645 31485 31935 52475 53225 157425 159675 233371 700113 1166855 3500565 4468771 5834275 13406313 17502825 22343855 67031565 111719275 335157825 489845729 496846859 1469537187 1490540577 2449228645 2484234295 7347685935 7452702885 12246143225 12421171475 36738429675 37263514425 1042881557041 3128644671123 5214407785205 15643223355615 26072038926025 78216116778075