Search a number
-
+
89259833696 = 25112192574721
BaseRepresentation
bin101001100100001001…
…1001111100101100000
322112101200010100211112
41103020103033211200
52430301004134241
6105001100002452
76306641032205
oct1231023174540
9275350110745
1089259833696
1134944938200
1215370b30428
13855668b757
14446a8a9cac
1524c63c31eb
hex14c84cf960

89259833696 has 144 divisors (see below), whose sum is σ = 204158692080. Its totient is φ = 38279577600.

The previous prime is 89259833623. The next prime is 89259833717. The reversal of 89259833696 is 69633895298.

It is a happy number.

It is a super-2 number, since 2×892598336962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 18904616 + ... + 18909336.

It is an arithmetic number, because the mean of its divisors is an integer number (1417768695).

Almost surely, 289259833696 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 89259833696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102079346040).

89259833696 is an abundant number, since it is smaller than the sum of its proper divisors (114898858384).

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

89259833696 is a wasteful number, since it uses less digits than its factorization.

89259833696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5010 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 68.

The spelling of 89259833696 in words is "eighty-nine billion, two hundred fifty-nine million, eight hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 176 209 242 257 304 352 418 484 514 608 836 968 1028 1672 1936 2056 2299 2827 3344 3872 4112 4598 4721 4883 5654 6688 8224 9196 9442 9766 11308 18392 18884 19532 22616 31097 36784 37768 39064 45232 51931 53713 62194 73568 75536 78128 89699 90464 103862 107426 124388 151072 156256 179398 207724 214852 248776 358796 415448 429704 497552 571241 590843 717592 830896 859408 986689 995104 1142482 1181686 1213297 1435184 1661792 1718816 1973378 2284964 2363372 2426594 2870368 3946756 4569928 4726744 4853188 7893512 9139856 9453488 9706376 10853579 13346267 15787024 18279712 18906976 19412752 21707158 23052643 26692534 31574048 38825504 43414316 46105286 53385068 86828632 92210572 106770136 146808937 173657264 184421144 213540272 253579073 293617874 347314528 368842288 427080544 507158146 587235748 737684576 1014316292 1174471496 2028632584 2348942992 2789369803 4057265168 4697885984 5578739606 8114530336 11157479212 22314958424 44629916848 89259833696