Search a number
-
+
96722886480 = 243511279113127
BaseRepresentation
bin101101000010100100…
…0100001111101010000
3100020122210011201121220
41122011020201331100
53041042024331410
6112233415045040
76662611653453
oct1320510417520
9306583151556
1096722886480
1138024603220
12168b4370780
1391758b160c
144977b2149a
1527b16a8070
hex1685221f50

96722886480 has 160 divisors (see below), whose sum is σ = 327241340928. Its totient is φ = 23437785600.

The previous prime is 96722886371. The next prime is 96722886509. The reversal of 96722886480 is 8468822769.

96722886480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7361677 + ... + 7374803.

Almost surely, 296722886480 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 96722886480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163620670464).

96722886480 is an abundant number, since it is smaller than the sum of its proper divisors (230518454448).

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

96722886480 is a wasteful number, since it uses less digits than its factorization.

96722886480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15945 (or 15939 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 96722886480 in words is "ninety-six billion, seven hundred twenty-two million, eight hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 2791 5582 8373 11164 13127 13955 16746 22328 26254 27910 30701 33492 39381 41865 44656 52508 55820 61402 65635 66984 78762 83730 92103 105016 111640 122804 131270 133968 144397 153505 157524 167460 184206 196905 210032 223280 245608 262540 288794 307010 315048 334920 368412 393810 433191 460515 491216 525080 577588 614020 630096 669840 721985 736824 787620 866382 921030 1050160 1155176 1228040 1443970 1473648 1575240 1732764 1842060 2165955 2310352 2456080 2887940 3150480 3465528 3684120 4331910 5775880 6931056 7368240 8663820 11551760 17327640 34655280 36637457 73274914 109912371 146549828 183187285 219824742 293099656 366374570 403012027 439649484 549561855 586199312 732749140 806024054 879298968 1099123710 1209036081 1465498280 1612048108 1758597936 2015060135 2198247420 2418072162 2930996560 3224096216 4030120270 4396494840 4836144324 6045180405 6448192432 8060240540 8792989680 9672288648 12090360810 16120481080 19344577296 24180721620 32240962160 48361443240 96722886480