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14821249842 = 23271724128711
BaseRepresentation
bin11011100110110101…
…00101001100110010
31102020220210111120100
431303122211030302
5220323214443332
610450410453230
71033166354640
oct156332451462
942226714510
1014821249842
116316233413
122a57734216
1315227c2029
14a085b4190
155bb2a667c
hex3736a5332

14821249842 has 96 divisors (see below), whose sum is σ = 39021675264. Its totient is φ = 3968870400.

The previous prime is 14821249811. The next prime is 14821249871. The reversal of 14821249842 is 24894212841.

14821249842 is a `hidden beast` number, since 1 + 482 + 124 + 9 + 8 + 42 = 666.

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, 501867 + ... + 530577.

It is an arithmetic number, because the mean of its divisors is an integer number (406475784).

Almost surely, 214821249842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14821249842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19510837632).

14821249842 is an abundant number, since it is smaller than the sum of its proper divisors (24200425422).

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

14821249842 is a wasteful number, since it uses less digits than its factorization.

14821249842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28984 (or 28981 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 14821249842 in words is "fourteen billion, eight hundred twenty-one million, two hundred forty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 241 306 357 482 714 723 1071 1446 1687 2142 2169 3374 4097 4338 5061 8194 10122 12291 15183 24582 28679 28711 30366 36873 57358 57422 73746 86037 86133 172074 172266 200977 258111 258399 401954 488087 516222 516798 602931 976174 1205862 1464261 1808793 2928522 3416609 3617586 4392783 6833218 6919351 8785566 10249827 13838702 20499654 20758053 30749481 41516106 48435457 61498962 62274159 96870914 117628967 124548318 145306371 235257934 290612742 352886901 435919113 705773802 823402769 871838226 1058660703 1646805538 2117321406 2470208307 4940416614 7410624921 14821249842