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88898889888 = 25321747937907
BaseRepresentation
bin101001011001011001…
…0010110100010100000
322111110111221112000100
41102302302112202200
52424031103434023
6104501203422400
76264666044664
oct1226262264240
9274414845010
1088898889888
113477a118836
1215290084a00
1384c9973233
1444349908a4
1524a4876c43
hex14b2c968a0

88898889888 has 144 divisors (see below), whose sum is σ = 268243073280. Its totient is φ = 27830888448.

The previous prime is 88898889853. The next prime is 88898889913.

88898889888 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 88898889798 and 88898889807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2326231 + ... + 2364137.

It is an arithmetic number, because the mean of its divisors is an integer number (1862799120).

Almost surely, 288898889888 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 88898889888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134121536640).

88898889888 is an abundant number, since it is smaller than the sum of its proper divisors (179344183392).

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

88898889888 is a wasteful number, since it uses less digits than its factorization.

88898889888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38419 (or 38408 counting only the distinct ones).

The product of its digits is 10871635968, while the sum is 90.

The spelling of 88898889888 in words is "eighty-eight billion, eight hundred ninety-eight million, eight hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 479 544 612 816 958 1224 1437 1632 1916 2448 2874 3832 4311 4896 5748 7664 8143 8622 11496 15328 16286 17244 22992 24429 32572 34488 37907 45984 48858 65144 68976 73287 75814 97716 113721 130288 137952 146574 151628 195432 227442 260576 293148 303256 341163 390864 454884 586296 606512 644419 682326 781728 909768 1172592 1213024 1288838 1364652 1819536 1933257 2345184 2577676 2729304 3639072 3866514 5155352 5458608 5799771 7733028 10310704 10917216 11599542 15466056 18157453 20621408 23199084 30932112 36314906 46398168 54472359 61864224 72629812 92796336 108944718 145259624 163417077 185592672 217889436 290519248 308676701 326834154 435778872 581038496 617353402 653668308 871557744 926030103 1234706804 1307336616 1743115488 1852060206 2469413608 2614673232 2778090309 3704120412 4938827216 5229346464 5556180618 7408240824 9877654432 11112361236 14816481648 22224722472 29632963296 44449444944 88898889888