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69139083168 = 2538329309
BaseRepresentation
bin100000001100100000…
…0101010111110100000
320121110102101100000000
41000121000222332200
52113044101130133
651432334300000
74665221340021
oct1003100527640
9217412340000
1069139083168
112735a234561
1211496657600
13669ac863cc
1434bc550c48
151be9c54413
hex101902afa0

69139083168 has 108 divisors (see below), whose sum is σ = 204166601730. Its totient is φ = 23046291072.

The previous prime is 69139083163. The next prime is 69139083179. The reversal of 69139083168 is 86138093196.

69139083168 is a `hidden beast` number, since 6 + 91 + 390 + 8 + 3 + 168 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66681699984 + 2457383184 = 258228^2 + 49572^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (69139083163) 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 17 ways as a sum of consecutive naturals, for example, 45298 + ... + 374606.

Almost surely, 269139083168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69139083168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102083300865).

69139083168 is an abundant number, since it is smaller than the sum of its proper divisors (135027518562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

69139083168 is an frugal number, since it uses more digits than its factorization.

69139083168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329343 (or 329314 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 69139083168 in words is "sixty-nine billion, one hundred thirty-nine million, eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 17496 23328 26244 34992 52488 69984 104976 209952 329309 658618 987927 1317236 1975854 2634472 2963781 3951708 5268944 5927562 7903416 8891343 10537888 11855124 15806832 17782686 23710248 26674029 31613664 35565372 47420496 53348058 71130744 80022087 94840992 106696116 142261488 160044174 213392232 240066261 284522976 320088348 426784464 480132522 640176696 720198783 853568928 960265044 1280353392 1440397566 1920530088 2160596349 2560706784 2880795132 3841060176 4321192698 5761590264 7682120352 8642385396 11523180528 17284770792 23046361056 34569541584 69139083168