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150533354136 = 233114575472281
BaseRepresentation
bin1000110000110001111…
…1001011001010011000
3112101112221001201012110
42030030133023022120
54431243014313021
6153053140112320
713606233253404
oct2141437131230
9471487051173
10150533354136
1158928176aa0
12252113956a0
131126cc12119
14740054a104
153db0835476
hex230c7cb298

150533354136 has 128 divisors (see below), whose sum is σ = 412376751360. Its totient is φ = 45413222400.

The previous prime is 150533354131. The next prime is 150533354141. The reversal of 150533354136 is 631453335051.

It is an interprime number because it is at equal distance from previous prime (150533354131) and next prime (150533354141).

It is a super-3 number, since 3×1505333541363 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150533354094 and 150533354103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150533354131) 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, 65993316 + ... + 65995596.

It is an arithmetic number, because the mean of its divisors is an integer number (3221693370).

Almost surely, 2150533354136 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 150533354136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206188375680).

150533354136 is an abundant number, since it is smaller than the sum of its proper divisors (261843397224).

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

150533354136 is a wasteful number, since it uses less digits than its factorization.

150533354136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 39.

Adding to 150533354136 its reverse (631453335051), we get a palindrome (781986689187).

The spelling of 150533354136 in words is "one hundred fifty billion, five hundred thirty-three million, three hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 457 547 914 1094 1371 1641 1828 2188 2281 2742 3282 3656 4376 4562 5027 5484 6017 6564 6843 9124 10054 10968 12034 13128 13686 15081 18051 18248 20108 24068 25091 27372 30162 36102 40216 48136 50182 54744 60324 72204 75273 100364 120648 144408 150546 200728 249979 301092 499958 602184 749937 999916 1042417 1247707 1499874 1999832 2084834 2495414 2749769 2999748 3127251 3743121 4169668 4990828 5499538 5999496 6254502 7486242 8249307 8339336 9981656 10999076 11466587 12509004 13724777 14972484 16498614 21998152 22933174 25018008 27449554 29944968 32997228 34399761 41174331 45866348 54899108 65994456 68799522 82348662 91732696 109798216 137599044 164697324 275198088 329394648 570202099 1140404198 1710606297 2280808396 3421212594 4561616792 6272223089 6842425188 12544446178 13684850376 18816669267 25088892356 37633338534 50177784712 75266677068 150533354136