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7946795441 = 132967331321
BaseRepresentation
bin1110110011010101…
…00111100110110001
3202111211022000222002
413121222213212301
5112233334423231
63352315223345
7400633434554
oct73152474661
922454260862
107946795441
113408839042
121659447b55
13998505230
145555b869b
153179db0cb
hex1d9aa79b1

7946795441 has 16 divisors (see below), whose sum is σ = 8866631760. Its totient is φ = 7071805440.

The previous prime is 7946795341. The next prime is 7946795447. The reversal of 7946795441 is 1445976497.

It can be written as a sum of positive squares in 8 ways, for example, as 481144225 + 7465651216 = 21935^2 + 86404^2 .

It is not a de Polignac number, because 7946795441 - 222 = 7942601137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7946795447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238061 + ... + 269381.

It is an arithmetic number, because the mean of its divisors is an integer number (554164485).

Almost surely, 27946795441 is an apocalyptic number.

It is an amenable number.

7946795441 is a deficient number, since it is larger than the sum of its proper divisors (919836319).

7946795441 is a wasteful number, since it uses less digits than its factorization.

7946795441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32036.

The product of its digits is 7620480, while the sum is 56.

The square root of 7946795441 is about 89144.8004148307. The cubic root of 7946795441 is about 1995.5564213661.

The spelling of 7946795441 in words is "seven billion, nine hundred forty-six million, seven hundred ninety-five thousand, four hundred forty-one".

Divisors: 1 13 29 377 673 8749 19517 31321 253721 407173 908309 11808017 21079033 274027429 611291957 7946795441