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21148581294 = 232196110110037
BaseRepresentation
bin10011101100100011…
…011011110110101110
32000120212210020120200
4103230203123312232
5321303014100134
613414315254330
71346036655261
oct235443336656
960525706520
1021148581294
118a72906165
12412274a3a6
131cc0638039
141048a6ccd8
1583b9eb499
hex4ec8dbdae

21148581294 has 96 divisors (see below), whose sum is σ = 49514643360. Its totient is φ = 6503328000.

The previous prime is 21148581283. The next prime is 21148581347. The reversal of 21148581294 is 49218584112.

21148581294 is a `hidden beast` number, since 2 + 1 + 1 + 48 + 581 + 29 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2102044 + ... + 2112080.

It is an arithmetic number, because the mean of its divisors is an integer number (515777535).

Almost surely, 221148581294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21148581294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24757321680).

21148581294 is an abundant number, since it is smaller than the sum of its proper divisors (28366062066).

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

21148581294 is a wasteful number, since it uses less digits than its factorization.

21148581294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10223 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 21148581294 in words is "twenty-one billion, one hundred forty-eight million, five hundred eighty-one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 61 101 114 122 171 183 202 303 342 366 549 606 909 1098 1159 1818 1919 2318 3477 3838 5757 6161 6954 10037 10431 11514 12322 17271 18483 20074 20862 30111 34542 36966 55449 60222 90333 110898 117059 180666 190703 234118 351177 381406 572109 612257 702354 1013737 1053531 1144218 1224514 1716327 1836771 2027474 2107062 3041211 3432654 3673542 5510313 6082422 9123633 11020626 11632883 18247266 19261003 23265766 34898649 38522006 57783009 61837957 69797298 104695947 115566018 123675914 173349027 185513871 209391894 346698054 371027742 556541613 1113083226 1174921183 2349842366 3524763549 7049527098 10574290647 21148581294