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11484508374 = 234479071663
BaseRepresentation
bin10101011001000011…
…11011000011010110
31002122101010110210000
422230201323003112
5142010013231444
65135332512130
7554411465463
oct125441730326
932571113700
1011484508374
114963784139
12228617b646
1311104173b1
147ad39266a
15473397469
hex2ac87b0d6

11484508374 has 80 divisors (see below), whose sum is σ = 26326130688. Its totient is φ = 3740337648.

The previous prime is 11484508367. The next prime is 11484508417. The reversal of 11484508374 is 47380548411.

11484508374 is a `hidden beast` number, since 11 + 48 + 450 + 83 + 74 = 666.

11484508374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114845083742 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6905067 + ... + 6906729.

Almost surely, 211484508374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11484508374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13163065344).

11484508374 is an abundant number, since it is smaller than the sum of its proper divisors (14841622314).

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

11484508374 is a wasteful number, since it uses less digits than its factorization.

11484508374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 11484508374 in words is "eleven billion, four hundred eighty-four million, five hundred eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 907 1269 1663 1814 2538 2721 3326 3807 4989 5442 7614 8163 9978 14967 16326 24489 29934 42629 44901 48978 73467 78161 85258 89802 127887 134703 146934 156322 234483 255774 269406 383661 468966 703449 767322 1150983 1406898 1508341 2110347 2301966 3016682 3452949 4220694 4525023 6331041 6905898 9050046 12662082 13575069 27150138 40725207 70892027 81450414 122175621 141784054 212676081 244351242 425352162 638028243 1276056486 1914084729 3828169458 5742254187 11484508374