Search a number
-
+
48816441688 = 2372293643661
BaseRepresentation
bin101101011101101011…
…111100100101011000
311200000002202011211211
4231131223330211120
51244434002113223
634232001432504
73345500623300
oct553553744530
9150002664754
1048816441688
1119780677193
12956463b734
1347ac7b4171
142511480600
15140aa05d0d
hexb5dafc958

48816441688 has 96 divisors (see below), whose sum is σ = 107166069360. Its totient is φ = 20786008320.

The previous prime is 48816441649. The next prime is 48816441691. The reversal of 48816441688 is 88614461884.

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, 73852078 + ... + 73852738.

Almost surely, 248816441688 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 48816441688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53583034680).

48816441688 is an abundant number, since it is smaller than the sum of its proper divisors (58349627672).

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

48816441688 is a wasteful number, since it uses less digits than its factorization.

48816441688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1606 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 58.

The spelling of 48816441688 in words is "forty-eight billion, eight hundred sixteen million, four hundred forty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 293 392 586 643 661 1172 1286 1322 2051 2344 2572 2644 4102 4501 4627 5144 5288 8204 9002 9254 14357 16408 18004 18508 28714 31507 32389 36008 37016 57428 63014 64778 114856 126028 129556 188399 193673 252056 259112 376798 387346 425023 753596 774692 850046 1318793 1355711 1507192 1549384 1700092 2637586 2711422 2975161 3400184 5275172 5422844 5950322 9231551 9489977 10550344 10845688 11900644 18463102 18979954 20826127 23801288 36926204 37959908 41652254 73852408 75919816 83304508 124531739 166609016 249063478 498126956 871722173 996253912 1743444346 3486888692 6102055211 6973777384 12204110422 24408220844 48816441688