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181432329012 = 2232111924113813
BaseRepresentation
bin1010100011111000110…
…1011010001100110100
3122100022022221021021100
42220332031122030310
510433033134012022
6215203204250100
716052030231304
oct2507615321464
9570268837240
10181432329012
116aa43902170
122b1b53a0930
13141556020cc
148ad2125604
154abd3371ac
hex2a3e35a334

181432329012 has 72 divisors (see below), whose sum is σ = 526645697760. Its totient is φ = 52085833920.

The previous prime is 181432328971. The next prime is 181432329017. The reversal of 181432329012 is 210923234181.

181432329012 is a `hidden beast` number, since 181 + 432 + 32 + 9 + 0 + 12 = 666.

181432329012 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 2×1814323290122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181432329017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12049383 + ... + 12064430.

It is an arithmetic number, because the mean of its divisors is an integer number (7314523580).

Almost surely, 2181432329012 is an apocalyptic number.

181432329012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

181432329012 is an abundant number, since it is smaller than the sum of its proper divisors (345213368748).

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

181432329012 is a wasteful number, since it uses less digits than its factorization.

181432329012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24113853 (or 24113848 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 181432329012 in words is "one hundred eighty-one billion, four hundred thirty-two million, three hundred twenty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 24113813 48227626 72341439 96455252 144682878 217024317 265251943 289365756 434048634 458162447 530503886 795755829 868097268 916324894 1061007772 1374487341 1591511658 1832649788 2387267487 2748974682 3183023316 4123462023 4774534974 5039786917 5497949364 8246924046 9549069948 10079573834 15119360751 16493848092 20159147668 30238721502 45358082253 60477443004 90716164506 181432329012