Search a number
-
+
2311651056 = 24311133071097
BaseRepresentation
bin1000100111001000…
…1111111011110000
312222002210001002210
42021302033323300
514213240313211
61021214412120
7111166465311
oct21162177360
95862701083
102311651056
11a86959720
12546201040
132aabc4380
1417d022608
15d7e239a6
hex89c8fef0

2311651056 has 160 divisors (see below), whose sum is σ = 7045049088. Its totient is φ = 643921920.

The previous prime is 2311651049. The next prime is 2311651099. The reversal of 2311651056 is 6501561132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106700 + ... + 2107796.

Almost surely, 22311651056 is an apocalyptic number.

2311651056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311651056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522524544).

2311651056 is an abundant number, since it is smaller than the sum of its proper divisors (4733398032).

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

2311651056 is a wasteful number, since it uses less digits than its factorization.

2311651056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 2311651056 is about 48079.6324445185. The cubic root of 2311651056 is about 1322.2312767164.

It can be divided in two parts, 231165 and 1056, that added together give a triangular number (232221 = T681).

The spelling of 2311651056 in words is "two billion, three hundred eleven million, six hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 307 312 429 528 572 614 624 858 921 1097 1144 1228 1716 1842 2194 2288 2456 3291 3377 3432 3684 3991 4388 4912 6582 6754 6864 7368 7982 8776 10131 11973 12067 13164 13508 14261 14736 15964 17552 20262 23946 24134 26328 27016 28522 31928 36201 40524 42783 43901 47892 48268 52656 54032 57044 63856 72402 81048 85566 87802 95784 96536 114088 131703 144804 156871 162096 171132 175604 191568 193072 228176 263406 289608 313742 336779 342264 351208 470613 526812 579216 627484 673558 684528 702416 941226 1010337 1053624 1254968 1347116 1882452 2020674 2107248 2509936 2694232 3704569 3764904 4041348 4378127 5388464 7409138 7529808 8082696 8756254 11113707 13134381 14818276 16165392 17512508 22227414 26268762 29636552 35025016 44454828 48159397 52537524 59273104 70050032 88909656 96318794 105075048 144478191 177819312 192637588 210150096 288956382 385275176 577912764 770550352 1155825528 2311651056