Search a number
-
+
2064628716 = 2231721394283
BaseRepresentation
bin111101100001111…
…1011101111101100
312022212222000011020
41323003323233230
513212021104331
6540512054140
7102110024463
oct17303735754
95285860136
102064628716
1196a47a127
12497534350
1326b9850c7
141582bd9da
15c13cbc96
hex7b0fbbec

2064628716 has 72 divisors (see below), whose sum is σ = 5155536960. Its totient is φ = 642916608.

The previous prime is 2064628693. The next prime is 2064628721. The reversal of 2064628716 is 6178264602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479911 + ... + 484193.

It is an arithmetic number, because the mean of its divisors is an integer number (71604680).

Almost surely, 22064628716 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 2064628716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577768480).

2064628716 is an abundant number, since it is smaller than the sum of its proper divisors (3090908244).

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

2064628716 is a wasteful number, since it uses less digits than its factorization.

2064628716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2064628716 is about 45438.1856592008. The cubic root of 2064628716 is about 1273.3486176054.

The spelling of 2064628716 in words is "two billion, sixty-four million, six hundred twenty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 289 417 556 578 834 867 1156 1668 1734 2363 3468 4283 4726 7089 8566 9452 12849 14178 17132 25698 28356 40171 51396 72811 80342 120513 145622 160684 218433 241026 291244 436866 482052 595337 873732 1190674 1237787 1786011 2381348 2475574 3572022 3713361 4951148 7144044 7426722 10120729 14853444 20241458 30362187 40482916 60724374 121448748 172052393 344104786 516157179 688209572 1032314358 2064628716