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9890150709321 = 341925323472
BaseRepresentation
bin1000111111101011101011…
…1010110111100001001001
31022000111012121102002210000
42033322322322313201021
52244020012040144241
633011250021313213
72040353103646521
oct217727272674111
938014177362700
109890150709321
113173431270073
12113893b565809
13569838c4833c
14262985d7a681
151223eb1b9eb6
hex8febaeb7849

9890150709321 has 135 divisors (see below), whose sum is σ = 15938373842391. Its totient is φ = 6110892624096.

The previous prime is 9890150709293. The next prime is 9890150709401. The reversal of 9890150709321 is 1239070510989.

The square root of 9890150709321 is 3144861.

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

It can be written as a sum of positive squares in only one way, i.e., 7129781127225 + 2760369582096 = 2670165^2 + 1661436^2 .

It is not a de Polignac number, because 9890150709321 - 217 = 9890150578249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9890150719321) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28501875070 + ... + 28501875416.

Almost surely, 29890150709321 is an apocalyptic number.

9890150709321 is the 3144861-st square number.

9890150709321 is the 1572431-st centered octagonal number.

It is an amenable number.

9890150709321 is a deficient number, since it is larger than the sum of its proper divisors (6048223133070).

9890150709321 is an frugal number, since it uses more digits than its factorization.

9890150709321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 9890150709321 in words is "nine trillion, eight hundred ninety billion, one hundred fifty million, seven hundred nine thousand, three hundred twenty-one".

Divisors: 1 3 9 19 27 53 57 81 159 171 347 361 477 513 1007 1041 1083 1431 1539 2809 3021 3123 3249 4293 6593 8427 9063 9369 9747 18391 19133 19779 25281 27189 28107 29241 53371 55173 57399 59337 75843 81567 120409 125267 160113 165519 172197 178011 227529 349429 361227 375801 480339 496557 516591 534033 974723 1014049 1048287 1083681 1127403 1441017 1489671 1549773 2287771 2924169 3042147 3144861 3251043 3382209 4323051 6381677 6639151 6863313 8772507 9126441 9434583 9753129 10146627 18519737 19145031 19917453 20589939 26317521 27379323 28303749 43467649 55559211 57435093 59752359 61769817 78952563 82137969 121251863 130402947 166677633 172305279 179257077 185309451 338228881 351875003 363755589 391208841 500032899 516915837 537771231 1014686643 1055625009 1091266767 1173626523 1500098697 2303785397 3044059929 3166875027 3273800301 3520879569 6426348739 6911356191 9132179787 9500625081 9821400903 19279046217 20734068573 27396539361 28501875243 57837138651 62202205719 122100626041 173511415953 186606617157 366301878123 520534247859 1098905634369 3296716903107 9890150709321