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14842504032 = 253971159227
BaseRepresentation
bin11011101001010111…
…01010001101100000
31102022101210022211120
431310223222031200
5220344140112112
610452450212240
71033545126336
oct156453521540
942271708746
1014842504032
11632722aa64
122a62884080
131527024285
14a0b347b56
155bd0a3e8c
hex374aea360

14842504032 has 48 divisors (see below), whose sum is σ = 39001943232. Its totient is φ = 4942375040.

The previous prime is 14842503997. The next prime is 14842504051. The reversal of 14842504032 is 23040524841.

14842504032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 14842503984 and 14842504002.

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 7 ways as a sum of consecutive naturals, for example, 13603 + ... + 172829.

It is an arithmetic number, because the mean of its divisors is an integer number (812540484).

Almost surely, 214842504032 is an apocalyptic number.

14842504032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14842504032 is an abundant number, since it is smaller than the sum of its proper divisors (24159439200).

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

14842504032 is a wasteful number, since it uses less digits than its factorization.

14842504032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160211 (or 160203 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 14842504032 in words is "fourteen billion, eight hundred forty-two million, five hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 971 1942 2913 3884 5826 7768 11652 15536 23304 31072 46608 93216 159227 318454 477681 636908 955362 1273816 1910724 2547632 3821448 5095264 7642896 15285792 154609417 309218834 463828251 618437668 927656502 1236875336 1855313004 2473750672 3710626008 4947501344 7421252016 14842504032