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29161795257 = 3371746319603
BaseRepresentation
bin11011001010001011…
…011010111010111001
32210021100001200122000
4123022023122322321
5434210404422012
621221410251213
72051441112150
oct331213327271
983240050560
1029161795257
1111405089441
12579a286b09
13299982686a
1415a8db6597
15b5a256ddc
hex6ca2daeb9

29161795257 has 64 divisors (see below), whose sum is σ = 52394434560. Its totient is φ = 15648982272.

The previous prime is 29161795211. The next prime is 29161795277. The reversal of 29161795257 is 75259716192.

It is a happy number.

29161795257 is a `hidden beast` number, since 291 + 6 + 17 + 95 + 257 = 666.

It is not a de Polignac number, because 29161795257 - 26 = 29161795193 is a prime.

It is a super-2 number, since 2×291617952572 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29161795277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1477818 + ... + 1497420.

It is an arithmetic number, because the mean of its divisors is an integer number (818663040).

Almost surely, 229161795257 is an apocalyptic number.

29161795257 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

29161795257 is a deficient number, since it is larger than the sum of its proper divisors (23232639303).

29161795257 is a wasteful number, since it uses less digits than its factorization.

29161795257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20099 (or 20093 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The spelling of 29161795257 in words is "twenty-nine billion, one hundred sixty-one million, seven hundred ninety-five thousand, two hundred fifty-seven".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 463 1071 1389 3213 3241 4167 7871 9723 12501 19603 23613 29169 55097 58809 70839 87507 137221 165291 176427 212517 333251 411663 495873 529281 999753 1234989 1487619 2332757 2999259 3704967 6998271 8997777 9076189 20994813 27228567 62984439 63533323 81685701 154295213 190599969 245057103 462885639 571799907 1080066491 1388656917 1715399721 3240199473 4165970751 9720598419 29161795257