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475668157969 = 179238532
BaseRepresentation
bin1101110110000000000…
…10000001011000010001
31200110210010120001212001
412323000002001120101
530243132022023334
61002304031234001
746236333426364
oct6730002013021
91613703501761
10475668157969
11173803302444
1278230378901
1335b17185404
14190458c60db
15c58e943714
hex6ec0081611

475668157969 has 9 divisors (see below), whose sum is σ = 478464547323. Its totient is φ = 472888029672.

The previous prime is 475668157931. The next prime is 475668158081. The reversal of 475668157969 is 969751866574.

The square root of 475668157969 is 689687.

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

It can be written as a sum of positive squares in only one way, i.e., 471234196225 + 4433961744 = 686465^2 + 66588^2 .

It is not a de Polignac number, because 475668157969 - 219 = 475667633681 is a prime.

It is a super-2 number, since 2×4756681579692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (685843200) is a multiple of the sum of its prime divisors (4032).

It is not an unprimeable number, because it can be changed into a prime (475668152969) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 123452047 + ... + 123455899.

Almost surely, 2475668157969 is an apocalyptic number.

475668157969 is the 689687-th square number.

475668157969 is the 344844-th centered octagonal number.

It is an amenable number.

475668157969 is a deficient number, since it is larger than the sum of its proper divisors (2796389354).

475668157969 is an frugal number, since it uses more digits than its factorization.

475668157969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 4032 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 73.

The spelling of 475668157969 in words is "four hundred seventy-five billion, six hundred sixty-eight million, one hundred fifty-seven thousand, nine hundred sixty-nine".

Divisors: 1 179 3853 32041 689687 14845609 123453973 2657364011 475668157969