Search a number
-
+
268668866862 = 2321137191192007
BaseRepresentation
bin1111101000110111101…
…0011001000100101110
3221200110222212112222200
43322031322121010232
513400213212214422
6323231430122330
725260602455014
oct3721572310456
9850428775880
10268668866862
11a3a3a631240
12440a07b03a6
131c448a4ab86
14d009dd08b4
156ec6c952ac
hex3e8de9912e

268668866862 has 96 divisors (see below), whose sum is σ = 655616692224. Its totient is φ = 78799262400.

The previous prime is 268668866861. The next prime is 268668866867.

268668866862 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2686688668622 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268668866861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1303263 + ... + 1495269.

It is an arithmetic number, because the mean of its divisors is an integer number (6829340544).

Almost surely, 2268668866862 is an apocalyptic number.

268668866862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268668866862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327808346112).

268668866862 is an abundant number, since it is smaller than the sum of its proper divisors (386947825362).

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

268668866862 is a wasteful number, since it uses less digits than its factorization.

268668866862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192254 (or 192251 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 268668866862 in words is "two hundred sixty-eight billion, six hundred sixty-eight million, eight hundred sixty-six thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 191 198 222 333 382 407 573 666 814 1146 1221 1719 2101 2442 3438 3663 4202 6303 7067 7326 12606 14134 18909 21201 37818 42402 63603 77737 127206 155474 192007 233211 384014 466422 576021 699633 1152042 1399266 1728063 2112077 3456126 4224154 6336231 7104259 12672462 14208518 19008693 21312777 36673337 38017386 42625554 63938331 73346674 78146849 110020011 127876662 156293698 220040022 234440547 330060033 403406707 468881094 660120066 703321641 806813414 1210220121 1356913469 1406643282 2420440242 2713826938 3630660363 4070740407 7261320726 8141480814 12212221221 14926048159 24424442442 29852096318 44778144477 89556288954 134334433431 268668866862