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11972424618 = 2337112261761
BaseRepresentation
bin10110010011001110…
…01011001110101010
31010220101020012001000
423021213023032222
5144004420041433
65300002335430
7602454634020
oct131147131652
933811205030
1011972424618
115094137900
1223a165a576
13118a52b32b
148180c0710
154a1125113
hex2c99cb3aa

11972424618 has 96 divisors (see below), whose sum is σ = 33421772160. Its totient is φ = 3109708800.

The previous prime is 11972424587. The next prime is 11972424619. The reversal of 11972424618 is 81642427911.

11972424618 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 2 + 4 + 24 + 618 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11972424619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85143 + ... + 176618.

It is an arithmetic number, because the mean of its divisors is an integer number (348143460).

Almost surely, 211972424618 is an apocalyptic number.

11972424618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11972424618 is an abundant number, since it is smaller than the sum of its proper divisors (21449347542).

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

11972424618 is a wasteful number, since it uses less digits than its factorization.

11972424618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261801 (or 261784 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 11972424618 in words is "eleven billion, nine hundred seventy-two million, four hundred twenty-four thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 462 594 693 726 847 1089 1386 1694 2079 2178 2541 3267 4158 5082 6534 7623 15246 22869 45738 261761 523522 785283 1570566 1832327 2355849 2879371 3664654 4711698 5496981 5758742 7067547 8638113 10993962 14135094 16490943 17276226 20155597 25914339 31673081 32981886 40311194 49472829 51828678 60466791 63346162 77743017 95019243 98945658 120933582 155486034 181400373 190038486 221711567 285057729 362800746 443423134 544201119 570115458 665134701 855173187 1088402238 1330269402 1710346374 1995404103 3990808206 5986212309 11972424618