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14742573216 = 253721938353
BaseRepresentation
bin11011011101011100…
…11101000010100000
31102001102202022112020
431232232131002200
5220143044320331
610434520301440
71031222543010
oct155656350240
942042668466
1014742573216
116285886508
122a35311880
13150c406107
149dbd73c40
155b4414c96
hex36eb9d0a0

14742573216 has 48 divisors (see below), whose sum is σ = 44227721664. Its totient is φ = 4212163584.

The previous prime is 14742573203. The next prime is 14742573253. The reversal of 14742573216 is 61237524741.

14742573216 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 Harshad number since it is a multiple of its sum of digits (42).

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, 10968505 + ... + 10969848.

It is an arithmetic number, because the mean of its divisors is an integer number (921410868).

Almost surely, 214742573216 is an apocalyptic number.

14742573216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14742573216 is an abundant number, since it is smaller than the sum of its proper divisors (29485148448).

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

14742573216 is a wasteful number, since it uses less digits than its factorization.

14742573216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938373 (or 21938365 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The spelling of 14742573216 in words is "fourteen billion, seven hundred forty-two million, five hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 21938353 43876706 65815059 87753412 131630118 153568471 175506824 263260236 307136942 351013648 460705413 526520472 614273884 702027296 921410826 1053040944 1228547768 1842821652 2106081888 2457095536 3685643304 4914191072 7371286608 14742573216