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4136228547984 = 2432132130372
BaseRepresentation
bin111100001100001010011…
…011101110110110010000
3112122102022212201222010100
4330030022123232312100
51020231444002013414
612444053540332400
7604555412363361
oct74141233566620
915572285658110
104136228547984
11135518a203015
125697666a4100
1324007720a400
141042a1b0bb68
15728d5a4e609
hex3c30a6eed90

4136228547984 has 135 divisors (see below), whose sum is σ = 12535590039843. Its totient is φ = 1272588086016.

The previous prime is 4136228547977. The next prime is 4136228548013. The reversal of 4136228547984 is 4897458226314.

The square root of 4136228547984 is 2033772.

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

4136228547984 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 2 + 2 + 8 + 547 + 9 + 84 = 666.

4136228547984 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 4 ways, for example, as 179630173584 + 3956598374400 = 423828^2 + 1989120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 317261914 + ... + 317274950.

Almost surely, 24136228547984 is an apocalyptic number.

4136228547984 is the 2033772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136228547984

4136228547984 is an abundant number, since it is smaller than the sum of its proper divisors (8399361491859).

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

4136228547984 is an equidigital number, since it uses as much as digits as its factorization.

4136228547984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26114 (or 13055 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 4136228547984 in words is "four trillion, one hundred thirty-six billion, two hundred twenty-eight million, five hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 13037 24336 26074 39111 52148 78222 104296 117333 156444 169481 208592 234666 312888 338962 469332 508443 625776 677924 938664 1016886 1355848 1525329 1877328 2033772 2203253 2711696 3050658 4067544 4406506 6101316 6609759 8135088 8813012 12202632 13219518 17626024 19829277 24405264 26439036 35252048 39658554 52878072 79317108 105756144 158634216 169963369 317268432 339926738 509890107 679853476 1019780214 1359706952 1529670321 2039560428 2209523797 2719413904 3059340642 4079120856 4419047594 6118681284 6628571391 8158241712 8838095188 12237362568 13257142782 17676190376 19885714173 24474725136 26514285564 28723809361 35352380752 39771428346 53028571128 57447618722 79542856692 86171428083 106057142256 114895237444 159085713384 172342856166 229790474888 258514284249 318171426768 344685712332 459580949776 517028568498 689371424664 1034057136996 1378742849328 2068114273992 4136228547984