Search a number
-
+
52176000128800 = 255265220000161
BaseRepresentation
bin10111101110100001010111…
…11101000001011100100000
320211201222101011022000120211
423313100223331001130200
523314322422013110200
6302545153515543504
713663406631350212
oct1367205375013440
9224658334260524
1052176000128800
1115696798935679
125a28084a5ab94
1323162390239a2
14cc54909745b2
1560733e0e8aba
hex2f742bf41720

52176000128800 has 36 divisors (see below), whose sum is σ = 127374660316386. Its totient is φ = 20870400051200.

The previous prime is 52176000128783. The next prime is 52176000128893. The reversal of 52176000128800 is 882100067125.

52176000128800 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 3 ways, for example, as 44275875696144 + 7900124432656 = 6654012^2 + 2810716^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32609999281 + ... + 32610000880.

Almost surely, 252176000128800 is an apocalyptic number.

52176000128800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52176000128800 is an abundant number, since it is smaller than the sum of its proper divisors (75198660187586).

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

52176000128800 is a wasteful number, since it uses less digits than its factorization.

52176000128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65220000181 (or 65220000168 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 52176000128800 in words is "fifty-two trillion, one hundred seventy-six billion, one hundred twenty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 65220000161 130440000322 260880000644 326100000805 521760001288 652200001610 1043520002576 1304400003220 1630500004025 2087040005152 2608800006440 3261000008050 5217600012880 6522000016100 10435200025760 13044000032200 26088000064400 52176000128800