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268222063728 = 24367307317857
BaseRepresentation
bin1111100111001101000…
…1111110010001110000
3221122022212010121022110
43321303101332101300
513343304322014403
6323115225405320
725243535631663
oct3716321762160
9848285117273
10268222063728
11a38303a9453
1243b97039840
131c3a7300318
14cda69256da
156e9c939103
hex3e7347e470

268222063728 has 160 divisors (see below), whose sum is σ = 708591147264. Its totient is φ = 87406995456.

The previous prime is 268222063723. The next prime is 268222063729. The reversal of 268222063728 is 827360222862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268222063723) 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, 312977476 + ... + 312978332.

Almost surely, 2268222063728 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 268222063728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354295573632).

268222063728 is an abundant number, since it is smaller than the sum of its proper divisors (440369083536).

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

268222063728 is a wasteful number, since it uses less digits than its factorization.

268222063728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 268222063728 in words is "two hundred sixty-eight billion, two hundred twenty-two million, sixty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 307 317 402 536 614 634 804 857 921 951 1072 1228 1268 1608 1714 1842 1902 2456 2536 2571 3216 3428 3684 3804 4912 5072 5142 6856 7368 7608 10284 13712 14736 15216 20568 20569 21239 41136 41138 42478 57419 61707 63717 82276 84956 97319 114838 123414 127434 164552 169912 172257 194638 229676 246828 254868 263099 271669 291957 329104 339824 344514 389276 459352 493656 509736 526198 543338 583914 689028 778552 789297 815007 918704 987312 1019472 1052396 1086676 1167828 1378056 1557104 1578594 1630014 2104792 2173352 2335656 2756112 3157188 3260028 4209584 4346704 4671312 6314376 6520056 6520373 12628752 13040112 13040746 17627633 18201823 19561119 26081492 35255266 36403646 39122238 52162984 52882899 54605469 70510532 72807292 78244476 83402383 104325968 105765798 109210938 141021064 145614584 156488952 166804766 211531596 218421876 250207149 282042128 291229168 312977904 333609532 423063192 436843752 500414298 667219064 846126384 873687504 1000828596 1334438128 2001657192 4003314384 5587959661 11175919322 16763878983 22351838644 33527757966 44703677288 67055515932 89407354576 134111031864 268222063728