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135203714646 = 2371113163138107
BaseRepresentation
bin111110111101011000…
…1001111011001010110
3110220222120122100010220
41331322301033121112
54203344122332041
6142040044455210
712524321420040
oct1757261173126
9426876570126
10135203714646
1152380a76a50
122225354a506
13c998cbb420
146788638a90
1537b4b09d66
hex1f7ac4f656

135203714646 has 128 divisors (see below), whose sum is σ = 365294555136. Its totient is φ = 32217367680.

The previous prime is 135203714627. The next prime is 135203714663. The reversal of 135203714646 is 646417302531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135203714598 and 135203714607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 909925 + ... + 1048031.

It is an arithmetic number, because the mean of its divisors is an integer number (2853863712).

Almost surely, 2135203714646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135203714646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182647277568).

135203714646 is an abundant number, since it is smaller than the sum of its proper divisors (230090840490).

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

135203714646 is a wasteful number, since it uses less digits than its factorization.

135203714646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138306.

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 135203714646 in words is "one hundred thirty-five billion, two hundred three million, seven hundred fourteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 163 182 231 273 286 326 429 462 489 546 858 978 1001 1141 1793 2002 2119 2282 3003 3423 3586 4238 5379 6006 6357 6846 10758 12551 12714 14833 23309 25102 29666 37653 44499 46618 69927 75306 88998 138107 139854 163163 276214 326326 414321 489489 828642 966749 978978 1519177 1795391 1933498 2900247 3038354 3590782 4557531 5386173 5800494 9115062 10634239 10772346 12567737 19749301 21268478 22511441 25135474 31902717 37703211 39498602 45022882 59247903 63805434 67534323 75406422 118495806 135068646 138245107 157580087 247625851 276490214 292648733 315160174 414735321 472740261 495251702 585297466 742877553 829470642 877946199 945480522 1485755106 1733380957 1755892398 2048541131 3219136063 3466761914 4097082262 5200142871 6145623393 6438272126 9657408189 10400285742 12291246786 19314816378 22533952441 45067904882 67601857323 135203714646