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990240312159 = 3571773469099
BaseRepresentation
bin11100110100011101110…
…11000000101101011111
310111122222112211220200000
432122032323000231133
5112211003004442114
62034524330305343
7131354035526430
oct16321673005537
93448875756600
10990240312159
11351a5a927a7a
1213bab9588253
13724c130b317
1435cdc19b487
151ab59a26e09
hexe68eec0b5f

990240312159 has 96 divisors (see below), whose sum is σ = 1819537574400. Its totient is φ = 525269670912.

The previous prime is 990240312143. The next prime is 990240312161. The reversal of 990240312159 is 951213042099.

990240312159 is a `hidden beast` number, since 9 + 90 + 2 + 403 + 1 + 2 + 159 = 666.

It is not a de Polignac number, because 990240312159 - 24 = 990240312143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990240312109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1876392 + ... + 2345490.

It is an arithmetic number, because the mean of its divisors is an integer number (18953516400).

Almost surely, 2990240312159 is an apocalyptic number.

990240312159 is a deficient number, since it is larger than the sum of its proper divisors (829297262241).

990240312159 is a wasteful number, since it uses less digits than its factorization.

990240312159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469211 (or 469199 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 990240312159 in words is "nine hundred ninety billion, two hundred forty million, three hundred twelve thousand, one hundred fifty-nine".

Divisors: 1 3 7 9 17 21 27 51 63 73 81 119 153 189 219 243 357 459 511 567 657 1071 1241 1377 1533 1701 1971 3213 3723 4131 4599 5913 8687 9639 11169 13797 17739 26061 28917 33507 41391 78183 100521 124173 234549 301563 469099 703647 1407297 2110941 3283693 4221891 7974683 9851079 12665673 23924049 29553237 34244227 37997019 55822781 71772147 88659711 102732681 113991057 167468343 215316441 239709589 265979133 308198043 502405029 582151859 645949323 719128767 797937399 924594129 1507215087 1746455577 1937847969 2157386301 2773782387 4075063013 4521645261 5239366731 6472158903 8321347161 12225189039 13564935783 15718100193 19416476709 36675567117 47154300579 58249430127 110026701351 141462901737 330080104053 990240312159