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14855751827856 = 24323211932
BaseRepresentation
bin1101100000101101111111…
…0011111000000110010000
31221121012021212221222212100
43120023133303320012100
53421344034431442411
651332345502400400
73062202244023552
oct330133763700620
957535255858770
1014855751827856
11480831a688875
1217bb189290100
13839b784b6674
14395044db14d2
151ab6739ea456
hexd82dfcf8190

14855751827856 has 45 divisors (see below), whose sum is σ = 41575601570529. Its totient is φ = 4951901858688.

The previous prime is 14855751827849. The next prime is 14855751827867. The reversal of 14855751827856 is 65872815755841.

The square root of 14855751827856 is 3854316.

It is a perfect power (a square), and thus also a powerful number.

14855751827856 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 5 + 7 + 518 + 27 + 85 + 6 = 666.

14855751827856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5939651379600 + 8916100448256 = 2437140^2 + 2985984^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46091196 + ... + 46412388.

Almost surely, 214855751827856 is an apocalyptic number.

14855751827856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14855751827856 is the 3854316-th square number.

It is an amenable number.

14855751827856 is an abundant number, since it is smaller than the sum of its proper divisors (26719849742673).

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

14855751827856 is an frugal number, since it uses more digits than its factorization.

14855751827856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642400 (or 321198 counting only the distinct ones).

The product of its digits is 752640000, while the sum is 72.

The spelling of 14855751827856 in words is "fourteen trillion, eight hundred fifty-five billion, seven hundred fifty-one million, eight hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 321193 642386 963579 1284772 1927158 2569544 2890737 3854316 5139088 5781474 7708632 11562948 15417264 23125896 46251792 103164943249 206329886498 309494829747 412659772996 618989659494 825319545992 928484489241 1237979318988 1650639091984 1856968978482 2475958637976 3713937956964 4951917275952 7427875913928 14855751827856