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268280322504 = 2332330711931327
BaseRepresentation
bin1111100111011011000…
…0001101100111001000
3221122110220202110022220
43321312300031213020
513343414230310004
6323125110214040
725245144054435
oct3716660154710
9848426673286
10268280322504
11a38602800a7
1243bb2654320
131c3b63ba87c
14cdb056cb8c
156ea2ae5dd9
hex3e76c0d9c8

268280322504 has 128 divisors (see below), whose sum is σ = 703259504640. Its totient is φ = 85124362752.

The previous prime is 268280322493. The next prime is 268280322509. The reversal of 268280322504 is 405223082862.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (268280322509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202169889 + ... + 202171215.

It is an arithmetic number, because the mean of its divisors is an integer number (5494214880).

Almost surely, 2268280322504 is an apocalyptic number.

268280322504 is a gapful number since it is divisible by the number (24) 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 268280322504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351629752320).

268280322504 is an abundant number, since it is smaller than the sum of its proper divisors (434979182136).

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

268280322504 is a wasteful number, since it uses less digits than its factorization.

268280322504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 268280322504 in words is "two hundred sixty-eight billion, two hundred eighty million, three hundred twenty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 307 552 614 921 1193 1228 1327 1842 2386 2456 2654 3579 3684 3981 4772 5308 7061 7158 7368 7962 9544 10616 14122 14316 15924 21183 27439 28244 28632 30521 31848 42366 54878 56488 61042 82317 84732 91563 109756 122084 164634 169464 183126 219512 244168 329268 366251 366252 407389 658536 732502 732504 814778 1098753 1222167 1465004 1583111 1629556 2197506 2444334 2930008 3166222 3259112 4395012 4749333 4888668 6332444 8423773 8790024 9369947 9498666 9777336 12664888 16847546 18739894 18997332 25271319 28109841 33695092 36411553 37479788 37994664 50542638 56219682 67390184 72823106 74959576 101085276 109234659 112439364 145646212 202170552 218469318 224878728 291292424 436938636 486015077 873877272 972030154 1458045231 1944060308 2916090462 3888120616 5832180924 11178346771 11664361848 22356693542 33535040313 44713387084 67070080626 89426774168 134140161252 268280322504