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150229108836 = 22346123532
BaseRepresentation
bin1000101111101001011…
…0100100100001100100
3112100202201120110010000
42023322112210201210
54430132122440321
6153003031101300
713565550233022
oct2137226444144
9470681513100
10150229108836
1158791462aa4
1225147511830
1311221b88c11
1473b1d8d712
153d93c88826
hex22fa5a4864

150229108836 has 135 divisors (see below), whose sum is σ = 400406569563. Its totient is φ = 49115911680.

The previous prime is 150229108807. The next prime is 150229108847. The reversal of 150229108836 is 638801922051.

The square root of 150229108836 is 387594.

It is a perfect power (a square), and thus also a powerful number.

150229108836 is a `hidden beast` number, since 1 + 502 + 2 + 9 + 108 + 8 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62105624100 + 88123484736 = 249210^2 + 296856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 150229108791 and 150229108800.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 425578036 + ... + 425578388.

Almost surely, 2150229108836 is an apocalyptic number.

150229108836 is the 387594-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150229108836

150229108836 is an abundant number, since it is smaller than the sum of its proper divisors (250177460727).

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

150229108836 is an frugal number, since it uses more digits than its factorization.

150229108836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 150229108836 in words is "one hundred fifty billion, two hundred twenty-nine million, one hundred eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 353 366 549 706 732 1059 1098 1412 1647 2118 2196 3177 3294 3721 4236 4941 6354 6588 7442 9531 9882 11163 12708 14884 19062 19764 21533 22326 28593 33489 38124 43066 44652 57186 64599 66978 86132 100467 114372 124609 129198 133956 193797 200934 249218 258396 301401 373827 387594 401868 498436 581391 602802 747654 775188 1121481 1162782 1205604 1313513 1495308 1744173 2242962 2325564 2627026 3364443 3488346 3940539 4485924 5254052 6728886 6976692 7601149 7881078 10093329 11821617 13457772 15202298 15762156 20186658 22803447 23643234 30404596 35464851 40373316 45606894 47286468 68410341 70929702 91213788 106394553 136820682 141859404 205231023 212789106 273641364 410462046 425578212 463670089 615693069 820924092 927340178 1231386138 1391010267 1854680356 2462772276 2782020534 4173030801 5564041068 8346061602 12519092403 16692123204 25038184806 37557277209 50076369612 75114554418 150229108836