Search a number
-
+
88488088488 = 233210112299901
BaseRepresentation
bin101001001101001001…
…1010001001110101000
322110101212221122102200
41102122103101032220
52422210422312423
6104352330500200
76251550225162
oct1223223211650
9273355848380
1088488088488
1134589245648
1215196594660
13846281c397
1443d61b7932
15247d77cd43
hex149a4d13a8

88488088488 has 96 divisors (see below), whose sum is σ = 242249459400. Its totient is φ = 29177280000.

The previous prime is 88488088457. The next prime is 88488088499.

88488088488 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 66029469444 + 22458619044 = 256962^2 + 149862^2 .

It is a super-2 number, since 2×884880884882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 8932338 + ... + 8942238.

Almost surely, 288488088488 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 88488088488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121124729700).

88488088488 is an abundant number, since it is smaller than the sum of its proper divisors (153761370912).

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

88488088488 is a wasteful number, since it uses less digits than its factorization.

88488088488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11243 (or 11236 counting only the distinct ones).

The product of its (nonzero) digits is 268435456, while the sum is 72.

The spelling of 88488088488 in words is "eighty-eight billion, four hundred eighty-eight million, eighty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1229 1818 2424 2458 3636 3687 4916 7272 7374 9832 9901 11061 14748 19802 22122 29496 29703 39604 44244 59406 79208 88488 89109 118812 124129 178218 237624 248258 356436 372387 496516 712872 744774 993032 1000001 1117161 1489548 2000002 2234322 2979096 3000003 4000004 4468644 6000006 8000008 8937288 9000009 12000012 12168329 18000018 24000024 24336658 36000036 36504987 48673316 72000072 73009974 97346632 109514961 146019948 219029922 292039896 438059844 876119688 1229001229 2458002458 3687003687 4916004916 7374007374 9832009832 11061011061 14748014748 22122022122 29496029496 44244044244 88488088488