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150036726132 = 2232103267115149
BaseRepresentation
bin1000101110111011100…
…0101100000101110100
3112100021022120101122200
42023232320230011310
54424233400214012
6152531555424500
713561023062346
oct2135670540564
9470238511580
10150036726132
11586a2903027
12250b2bb5130
13111c106aab7
1473945d1296
153d81e363dc
hex22eee2c174

150036726132 has 72 divisors (see below), whose sum is σ = 383110291200. Its totient is φ = 49504875840.

The previous prime is 150036726101. The next prime is 150036726139. The reversal of 150036726132 is 231627630051.

150036726132 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 36 + 7 + 2 + 613 + 2 = 666.

150036726132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1500367261322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150036726139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9896494 + ... + 9911642.

Almost surely, 2150036726132 is an apocalyptic number.

150036726132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150036726132 is an abundant number, since it is smaller than the sum of its proper divisors (233073565068).

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

150036726132 is a wasteful number, since it uses less digits than its factorization.

150036726132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17933 (or 17928 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 150036726132 in words is "one hundred fifty billion, thirty-six million, seven hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 2671 3708 5342 8013 10684 15149 16026 24039 30298 32052 45447 48078 60596 90894 96156 136341 181788 272682 275113 545364 550226 825339 1100452 1560347 1650678 2476017 3120694 3301356 4681041 4952034 6241388 9362082 9904068 14043123 18724164 28086246 40462979 56172492 80925958 121388937 161851916 242777874 364166811 485555748 728333622 1456667244 4167686837 8335373674 12503060511 16670747348 25006121022 37509181533 50012242044 75018363066 150036726132