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2001309696 = 212322332
BaseRepresentation
bin111011101001001…
…1001000000000000
312011110211001210100
41313102121000000
513044313402241
6530331002400
7100410565101
oct16722310000
95143731710
102001309696
11937761661
1247a299400
1325b815529
1414db1a3a8
15baa709b6
hex77499000

2001309696 has 117 divisors (see below), whose sum is σ = 5805772609. Its totient is φ = 664240128.

The previous prime is 2001309689. The next prime is 2001309707. The reversal of 2001309696 is 6969031002.

The square root of 2001309696 is 44736.

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

It can be written as a sum of positive squares in only one way, i.e., 406425600 + 1594884096 = 20160^2 + 39936^2 .

It is a super-2 number, since 2×20013096962 = 8010480998607224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001309696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8589196 + ... + 8589428.

Almost surely, 22001309696 is an apocalyptic number.

2001309696 is the 44736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001309696

2001309696 is an abundant number, since it is smaller than the sum of its proper divisors (3804462913).

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

2001309696 is an frugal number, since it uses more digits than its factorization.

2001309696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The cubic root of 2001309696 is about 1260.1960088114.

Multiplying 2001309696 by its sum of digits (36), we get a square (72047149056 = 2684162).

2001309696 divided by its sum of digits (36) gives a square (55591936 = 74562).

The spelling of 2001309696 in words is "two billion, one million, three hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 256 288 384 466 512 576 699 768 932 1024 1152 1398 1536 1864 2048 2097 2304 2796 3072 3728 4096 4194 4608 5592 6144 7456 8388 9216 11184 12288 14912 16776 18432 22368 29824 33552 36864 44736 54289 59648 67104 89472 108578 119296 134208 162867 178944 217156 238592 268416 325734 357888 434312 477184 488601 536832 651468 715776 868624 954368 977202 1073664 1302936 1431552 1737248 1954404 2147328 2605872 2863104 3474496 3908808 4294656 5211744 6948992 7817616 8589312 10423488 13897984 15635232 20846976 27795968 31270464 41693952 55591936 62540928 83387904 111183872 125081856 166775808 222367744 250163712 333551616 500327424 667103232 1000654848 2001309696