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20135147706552 = 23361118133593467
BaseRepresentation
bin1001001010000000101000…
…10100111001100010111000
32122021220100001201100010210
410211000110110321202320
510114343240303102202
6110453543102311120
74145500505412024
oct445002424714270
978256301640123
1020135147706552
1164632a4a5a2aa
1223123b02884a0
13b309757c2178
144d8791277384
1524db64acac6c
hex1250145398b8

20135147706552 has 128 divisors (see below), whose sum is σ = 51236420659200. Its totient is φ = 6592232179200.

The previous prime is 20135147706551. The next prime is 20135147706563. The reversal of 20135147706552 is 25560774153102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20135147706551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5807655523 + ... + 5807658989.

It is an arithmetic number, because the mean of its divisors is an integer number (400284536400).

Almost surely, 220135147706552 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 20135147706552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25618210329600).

20135147706552 is an abundant number, since it is smaller than the sum of its proper divisors (31101272952648).

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

20135147706552 is a wasteful number, since it uses less digits than its factorization.

20135147706552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8077 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 20135147706552 in words is "twenty trillion, one hundred thirty-five billion, one hundred forty-seven million, seven hundred six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1181 1464 2362 3359 3467 3543 4724 6718 6934 7086 9448 10077 10401 13436 13868 14172 20154 20802 26872 27736 28344 40308 41604 72041 80616 83208 144082 204899 211487 216123 288164 409798 422974 432246 576328 614697 634461 819596 845948 864492 1229394 1268922 1639192 1691896 1728984 2458788 2537844 3966979 4094527 4917576 5075688 7933958 8189054 11645653 11900937 12283581 15867916 16378108 23291306 23801874 24567162 31735832 32756216 34936959 46582612 47603748 49134324 69873918 93165224 95207496 98268648 139747836 241985719 249766147 279495672 483971438 499532294 710384833 725957157 749298441 967942876 999064588 1420769666 1451914314 1498596882 1935885752 1998129176 2131154499 2841539332 2903828628 2997193764 4262308998 5683078664 5807657256 5994387528 8524617996 13753516193 17049235992 27507032386 41260548579 55014064772 82521097158 110028129544 165042194316 330084388632 838964487773 1677928975546 2516893463319 3355857951092 5033786926638 6711715902184 10067573853276 20135147706552