Search a number
-
+
210491862048 = 253213107525431
BaseRepresentation
bin1100010000001001001…
…0101110110000100000
3202010022112120111111200
43010002102232300200
511422041404041143
6240410523041200
721131120210046
oct3040222566040
9663275514450
10210491862048
11812a6194476
1234965370200
1316b06ba2580
14a28b6bc396
15571e5de1d3
hex31024aec20

210491862048 has 144 divisors (see below), whose sum is σ = 650657157696. Its totient is φ = 64161308160.

The previous prime is 210491862019. The next prime is 210491862067. The reversal of 210491862048 is 840268194012.

210491862048 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 9 + 18 + 620 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 210491861994 and 210491862012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137893 + ... + 663323.

It is an arithmetic number, because the mean of its divisors is an integer number (4518452484).

Almost surely, 2210491862048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210491862048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325328578848).

210491862048 is an abundant number, since it is smaller than the sum of its proper divisors (440165295648).

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

210491862048 is a wasteful number, since it uses less digits than its factorization.

210491862048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525567 (or 525556 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 210491862048 in words is "two hundred ten billion, four hundred ninety-one million, eight hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 107 117 144 156 208 214 234 288 312 321 416 428 468 624 642 856 936 963 1248 1284 1391 1712 1872 1926 2568 2782 3424 3744 3852 4173 5136 5564 7704 8346 10272 11128 12519 15408 16692 22256 25038 30816 33384 44512 50076 66768 100152 133536 200304 400608 525431 1050862 1576293 2101724 3152586 4203448 4728879 6305172 6830603 8406896 9457758 12610344 13661206 16813792 18915516 20491809 25220688 27322412 37831032 40983618 50441376 54644824 56221117 61475427 75662064 81967236 109289648 112442234 122950854 151324128 163934472 168663351 218579296 224884468 245901708 327868944 337326702 449768936 491803416 505990053 655737888 674653404 730874521 899537872 983606832 1011980106 1349306808 1461749042 1799075744 1967213664 2023960212 2192623563 2698613616 2923498084 4047920424 4385247126 5397227232 5846996168 6577870689 8095840848 8770494252 11693992336 13155741378 16191681696 17540988504 23387984672 26311482756 35081977008 52622965512 70163954016 105245931024 210491862048