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268740883188 = 223331347231323
BaseRepresentation
bin1111101001001000110…
…1000111001011110100
3221200200000101100211000
43322102031013023310
513400340131230223
6323242521443300
725262435550111
oct3722215071364
9850600340730
10268740883188
11a3a7724a168
1244100940530
131c45a94439b
14d0157b9908
156ecd26d543
hex3e923472f4

268740883188 has 96 divisors (see below), whose sum is σ = 721286737920. Its totient is φ = 86440404960.

The previous prime is 268740883121. The next prime is 268740883217. The reversal of 268740883188 is 881388047862.

It is a super-2 number, since 2×2687408831882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046095 + ... + 1277417.

It is an arithmetic number, because the mean of its divisors is an integer number (7513403520).

Almost surely, 2268740883188 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 268740883188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360643368960).

268740883188 is an abundant number, since it is smaller than the sum of its proper divisors (452545854732).

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

268740883188 is a wasteful number, since it uses less digits than its factorization.

268740883188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231714 (or 231706 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 268740883188 in words is "two hundred sixty-eight billion, seven hundred forty million, eight hundred eighty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 347 372 558 694 837 1041 1116 1388 1674 2082 3123 3348 4164 6246 9369 10757 12492 18738 21514 32271 37476 43028 64542 96813 129084 193626 231323 290439 387252 462646 580878 693969 925292 1161756 1387938 2081907 2775876 4163814 6245721 7171013 8327628 12491442 14342026 21513039 24982884 28684052 43026078 64539117 80269081 86052156 129078234 160538162 193617351 240807243 258156468 321076324 387234702 481614486 722421729 774469404 963228972 1444843458 2167265187 2488341511 2889686916 4334530374 4976683022 7465024533 8669060748 9953366044 14930049066 22395073599 29860098132 44790147198 67185220797 89580294396 134370441594 268740883188