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134779479252 = 223114133137517
BaseRepresentation
bin111110110000101111…
…0111010010011010100
3110212220000100221120220
41331201132322103110
54202012021314002
6141530011554340
712510650446125
oct1754136722324
9425800327526
10134779479252
1152183558690
122215545b9b0
13c92c142972
14674816604c
15378c75a7bc
hex1f617ba4d4

134779479252 has 96 divisors (see below), whose sum is σ = 351595569024. Its totient is φ = 39828787200.

The previous prime is 134779479217. The next prime is 134779479269. The reversal of 134779479252 is 252974977431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17926198 + ... + 17933714.

It is an arithmetic number, because the mean of its divisors is an integer number (3662453844).

Almost surely, 2134779479252 is an apocalyptic number.

134779479252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134779479252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175797784512).

134779479252 is an abundant number, since it is smaller than the sum of its proper divisors (216816089772).

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

134779479252 is a wasteful number, since it uses less digits than its factorization.

134779479252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10889 (or 10887 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 60.

The spelling of 134779479252 in words is "one hundred thirty-four billion, seven hundred seventy-nine million, four hundred seventy-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 3313 5412 6626 7517 9939 13252 15034 19878 22551 30068 36443 39756 45102 72886 82687 90204 109329 135833 145772 165374 218658 248061 271666 308197 330748 407499 437316 496122 543332 616394 814998 924591 992244 1232788 1494163 1629996 1849182 2988326 3390167 3698364 4482489 5976652 6780334 8964978 10170501 13560668 17929956 20341002 24903821 40682004 49807642 74711463 99615284 149422926 273942031 298845852 547884062 821826093 1021056661 1095768124 1643652186 2042113322 3063169983 3287304372 4084226644 6126339966 11231623271 12252679932 22463246542 33694869813 44926493084 67389739626 134779479252