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75378800705 = 5131809764081
BaseRepresentation
bin100011000110011101…
…1010011100001000001
321012120021111211022112
41012030323103201001
52213333433110310
654343433145105
75305646143235
oct1061473234101
9235507454275
1075378800705
1129a7140570a
121273825b195
137153904570
1439111205c5
151e6293e705
hex118ced3841

75378800705 has 16 divisors (see below), whose sum is σ = 97419507024. Its totient is φ = 55660400640.

The previous prime is 75378800701. The next prime is 75378800723. The reversal of 75378800705 is 50700887357.

It is a Cunningham number, because it is equal to 2745522+1.

It can be written as a sum of positive squares in 8 ways, for example, as 21081878416 + 54296922289 = 145196^2 + 233017^2 .

It is not a de Polignac number, because 75378800705 - 22 = 75378800701 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75378800701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144265 + ... + 1208345.

It is an arithmetic number, because the mean of its divisors is an integer number (6088719189).

Almost surely, 275378800705 is an apocalyptic number.

It is an amenable number.

75378800705 is a deficient number, since it is larger than the sum of its proper divisors (22040706319).

75378800705 is a wasteful number, since it uses less digits than its factorization.

75378800705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82196.

The product of its (nonzero) digits is 1646400, while the sum is 50.

The spelling of 75378800705 in words is "seventy-five billion, three hundred seventy-eight million, eight hundred thousand, seven hundred five".

Divisors: 1 5 13 65 18097 64081 90485 235261 320405 833053 1176305 4165265 1159673857 5798369285 15075760141 75378800705