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2064646848 = 263111019679
BaseRepresentation
bin111101100010000…
…0000001011000000
312022212222221000210
41323010000023000
513212022144343
6540512314120
7102110131365
oct17304001300
95285887023
102064646848
1196a491810
12497542940
1326b990434
141582c646c
15c13d2333
hex7b1002c0

2064646848 has 112 divisors (see below), whose sum is σ = 6018946560. Its totient is φ = 619392000.

The previous prime is 2064646813. The next prime is 2064646867. The reversal of 2064646848 is 8486464602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2064646797 and 2064646806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208473 + ... + 218151.

Almost surely, 22064646848 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 2064646848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009473280).

2064646848 is an abundant number, since it is smaller than the sum of its proper divisors (3954299712).

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

2064646848 is a wasteful number, since it uses less digits than its factorization.

2064646848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9806 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The square root of 2064646848 is about 45438.3851825744. The cubic root of 2064646848 is about 1273.3523451989.

It can be divided in two parts, 206464 and 6848, that added together give a palindrome (213312).

The spelling of 2064646848 in words is "two billion, sixty-four million, six hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 132 176 192 202 264 303 352 404 528 606 704 808 1056 1111 1212 1616 2112 2222 2424 3232 3333 4444 4848 6464 6666 8888 9679 9696 13332 17776 19358 19392 26664 29037 35552 38716 53328 58074 71104 77432 106469 106656 116148 154864 212938 213312 232296 309728 319407 425876 464592 619456 638814 851752 929184 977579 1277628 1703504 1858368 1955158 2555256 2932737 3407008 3910316 5110512 5865474 6814016 7820632 10221024 10753369 11730948 15641264 20442048 21506738 23461896 31282528 32260107 43013476 46923792 62565056 64520214 86026952 93847584 129040428 172053904 187695168 258080856 344107808 516161712 688215616 1032323424 2064646848