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150294688368 = 243116710938977
BaseRepresentation
bin1000101111111001000…
…0101111001001110000
3112100221021222020022120
42023332100233021300
54430300420011433
6153013332434240
713600304526006
oct2137620571160
9470837866276
10150294688368
1158815484960
1225165478980
131123263a686
1473ba980a76
153d998de7b3
hex22fe42f270

150294688368 has 160 divisors (see below), whose sum is σ = 433834494720. Its totient is φ = 44451348480.

The previous prime is 150294688367. The next prime is 150294688409. The reversal of 150294688368 is 863886492051.

150294688368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150294688367) 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 31 ways as a sum of consecutive naturals, for example, 3836496 + ... + 3875472.

It is an arithmetic number, because the mean of its divisors is an integer number (2711465592).

Almost surely, 2150294688368 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 150294688368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216917247360).

150294688368 is an abundant number, since it is smaller than the sum of its proper divisors (283539806352).

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

150294688368 is a wasteful number, since it uses less digits than its factorization.

150294688368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39175 (or 39169 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 150294688368 in words is "one hundred fifty billion, two hundred ninety-four million, six hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 109 132 134 176 201 218 264 268 327 402 436 528 536 654 737 804 872 1072 1199 1308 1474 1608 1744 2211 2398 2616 2948 3216 3597 4422 4796 5232 5896 7194 7303 8844 9592 11792 14388 14606 17688 19184 21909 28776 29212 35376 38977 43818 57552 58424 77954 80333 87636 116848 116931 155908 160666 175272 233862 240999 311816 321332 350544 428747 467724 481998 623632 642664 857494 935448 963996 1285328 1286241 1714988 1870896 1927992 2572482 2611459 3429976 3855984 4248493 5144964 5222918 6859952 7834377 8496986 10289928 10445836 12745479 15668754 16993972 20579856 20891672 25490958 28726049 31337508 33987944 41783344 46733423 50981916 57452098 62675016 67975888 86178147 93466846 101963832 114904196 125350032 140200269 172356294 186933692 203927664 229808392 280400538 284649031 344712588 373867384 459616784 560801076 569298062 689425176 747734768 853947093 1121602152 1138596124 1378850352 1707894186 2243204304 2277192248 3131139341 3415788372 4554384496 6262278682 6831576744 9393418023 12524557364 13663153488 18786836046 25049114728 37573672092 50098229456 75147344184 150294688368