Search a number
-
+
88170000534 = 232721129313373
BaseRepresentation
bin101001000011101010…
…1110111000010010110
322102120201102002210100
41102013111313002112
52421033010004114
6104301005034530
76240635432100
oct1220725670226
9272521362710
1088170000534
1134435737440
1215107b55a46
13841195a565
1443a5c56570
152460899909
hex1487577096

88170000534 has 144 divisors (see below), whose sum is σ = 250786944720. Its totient is φ = 22111528320.

The previous prime is 88170000493. The next prime is 88170000539. The reversal of 88170000534 is 43500007188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88170000539) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124672 + ... + 438044.

It is an arithmetic number, because the mean of its divisors is an integer number (1741576005).

Almost surely, 288170000534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88170000534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125393472360).

88170000534 is an abundant number, since it is smaller than the sum of its proper divisors (162616944186).

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

88170000534 is a wasteful number, since it uses less digits than its factorization.

88170000534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313435 (or 313425 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 88170000534 in words is "eighty-eight billion, one hundred seventy million, five hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 49 58 63 66 77 87 98 99 126 147 154 174 198 203 231 261 294 319 406 441 462 522 539 609 638 693 882 957 1078 1218 1386 1421 1617 1827 1914 2233 2842 2871 3234 3654 4263 4466 4851 5742 6699 8526 9702 12789 13398 15631 20097 25578 31262 40194 46893 93786 140679 281358 313373 626746 940119 1880238 2193611 2820357 3447103 4387222 5640714 6580833 6894206 9087817 10341309 13161666 15355277 18175634 19742499 20682618 24129721 27263451 30710554 31023927 39484998 46065831 48259442 54526902 62047854 63614719 72389163 81790353 92131662 99965987 127229438 138197493 144778326 163580706 168908047 190844157 199931974 217167489 276394986 299897961 337816094 381688314 434334978 445303033 506724141 572532471 599795922 699761909 890606066 899693883 1013448282 1145064942 1335909099 1399523818 1520172423 1799387766 2099285727 2671818198 3040344846 4007727297 4198571454 4898333363 6297857181 8015454594 9796666726 12595714362 14695000089 29390000178 44085000267 88170000534