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150324948396 = 223274189163477
BaseRepresentation
bin1000110000000000010…
…0001010110110101100
3112101000101220121021100
42030000010022312230
54430331141322041
6153020333203100
713601122656450
oct2140004126654
9471011817240
10150324948396
1158830572747
1225173630490
13112389a3b0c
1473c09ba660
153d9c3ba6b6
hex230010adac

150324948396 has 144 divisors (see below), whose sum is σ = 449865299520. Its totient is φ = 41431357440.

The previous prime is 150324948377. The next prime is 150324948413. The reversal of 150324948396 is 693849423051.

150324948396 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 249 + 4 + 8 + 396 = 666.

It is a super-2 number, since 2×1503249483962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837810 + ... + 1001286.

It is an arithmetic number, because the mean of its divisors is an integer number (3124064580).

Almost surely, 2150324948396 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 150324948396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224932649760).

150324948396 is an abundant number, since it is smaller than the sum of its proper divisors (299540351124).

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

150324948396 is a wasteful number, since it uses less digits than its factorization.

150324948396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163624 (or 163619 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 150324948396 in words is "one hundred fifty billion, three hundred twenty-four million, nine hundred forty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 89 123 126 164 178 246 252 267 287 356 369 492 534 574 623 738 801 861 1068 1148 1246 1476 1602 1722 1869 2492 2583 3204 3444 3649 3738 5166 5607 7298 7476 10332 10947 11214 14596 21894 22428 25543 32841 43788 51086 65682 76629 102172 131364 153258 163477 229887 306516 326954 459774 490431 653908 919548 980862 1144339 1471293 1961724 2288678 2942586 3433017 4577356 5885172 6702557 6866034 10299051 13405114 13732068 14549453 20107671 20598102 26810228 29098906 40215342 41196204 43648359 46917899 58197812 60323013 80430684 87296718 93835798 101846171 120646026 130945077 140753697 174593436 187671596 203692342 241292052 261890154 281507394 305538513 407384684 422261091 523780308 563014788 596527573 611077026 844522182 916615539 1193055146 1222154052 1689044364 1789582719 1833231078 2386110292 3579165438 3666462156 4175693011 5368748157 7158330876 8351386022 10737496314 12527079033 16702772044 21474992628 25054158066 37581237099 50108316132 75162474198 150324948396