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136054336284 = 22351726331307
BaseRepresentation
bin111111010110101111…
…0000110101100011100
3111000011212020101200000
41332231132012230130
54212114402230114
6142300312334300
712554360530356
oct1765536065434
9430155211600
10136054336284
1152778142639
12224503a4390
13caa32b6639
1468295c00d6
153814630e09
hex1fad786b1c

136054336284 has 144 divisors (see below), whose sum is σ = 379080269568. Its totient is φ = 42520059648.

The previous prime is 136054336283. The next prime is 136054336309. The reversal of 136054336284 is 482633450631.

136054336284 is a `hidden beast` number, since 1 + 3 + 605 + 4 + 3 + 36 + 2 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136054336283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4330159 + ... + 4361465.

It is an arithmetic number, because the mean of its divisors is an integer number (2632501872).

Almost surely, 2136054336284 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 136054336284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189540134784).

136054336284 is an abundant number, since it is smaller than the sum of its proper divisors (243025933284).

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

136054336284 is a wasteful number, since it uses less digits than its factorization.

136054336284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31606 (or 31592 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 136054336284 in words is "one hundred thirty-six billion, fifty-four million, three hundred thirty-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 263 306 324 459 486 526 612 789 918 972 1052 1377 1578 1836 2367 2754 3156 4131 4471 4734 5508 7101 8262 8942 9468 13413 14202 16524 17884 21303 26826 28404 31307 40239 42606 53652 62614 63909 80478 85212 93921 120717 125228 127818 160956 187842 241434 255636 281763 362151 375684 482868 532219 563526 724302 845289 1064438 1086453 1127052 1448604 1596657 1690578 2128876 2172906 2535867 3193314 3381156 4345812 4789971 5071734 6386628 7607601 8233741 9579942 10143468 14369913 15215202 16467482 19159884 24701223 28739826 30430404 32934964 43109739 49402446 57479652 74103669 86219478 98804892 129329217 139973597 148207338 172438956 222311007 258658434 279947194 296414676 419920791 444622014 517316868 559894388 666933021 839841582 889244028 1259762373 1333866042 1679683164 2000799063 2519524746 2667732084 3779287119 4001598126 5039049492 7558574238 8003196252 11337861357 15117148476 22675722714 34013584071 45351445428 68027168142 136054336284