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96050368256 = 2829311492801
BaseRepresentation
bin101100101110100001…
…1000100111100000000
3100011220220201021001112
41121131003010330000
53033202343241011
6112042552422452
76640134442103
oct1313503047400
9304826637045
1096050368256
1137809a24337
12167470a7a28
139099474c3b
14491269c73a
15277261358b
hex165d0c4f00

96050368256 has 144 divisors (see below), whose sum is σ = 206182368000. Its totient is φ = 44556288000.

The previous prime is 96050368231. The next prime is 96050368259. The reversal of 96050368256 is 65286305069.

It is a super-2 number, since 2×960503682562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96050368259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34290056 + ... + 34292856.

It is an arithmetic number, because the mean of its divisors is an integer number (1431822000).

Almost surely, 296050368256 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 96050368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103091184000).

96050368256 is an abundant number, since it is smaller than the sum of its proper divisors (110131999744).

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

96050368256 is a wasteful number, since it uses less digits than its factorization.

96050368256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 96050368256 in words is "ninety-six billion, fifty million, three hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 149 232 248 256 298 464 496 596 899 928 992 1192 1798 1856 1984 2384 2801 3596 3712 3968 4321 4619 4768 5602 7192 7424 7936 8642 9238 9536 11204 14384 17284 18476 19072 22408 28768 34568 36952 38144 44816 57536 69136 73904 81229 86831 89632 115072 133951 138272 147808 162458 173662 179264 230144 267902 276544 295616 324916 347324 358528 417349 535804 553088 591232 649832 694648 717056 834698 1071608 1106176 1182464 1299664 1389296 1669396 2143216 2518099 2599328 2778592 3338792 4286432 5036198 5198656 5557184 6677584 8572864 10072396 10397312 11114368 12103121 12937819 13355168 17145728 20144792 20794624 22228736 24206242 25875638 26710336 34291456 40289584 48412484 51751276 53420672 80579168 96824968 103502552 106841344 161158336 193649936 207005104 322316672 375196751 387299872 414010208 644633344 750393502 774599744 828020416 1500787004 1549199488 1656040832 3001574008 3098398976 3312081664 6003148016 12006296032 24012592064 48025184128 96050368256