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96363787872 = 25311228739901
BaseRepresentation
bin101100110111110111…
…0101011011001100000
3100012201202110121221110
41121233232223121200
53034323112202442
6112134030223320
76650661452652
oct1315756533140
9305652417843
1096363787872
113795a934110
1216814054b40
139119390c31
1449421666d2
15278edc369c
hex166fbab660

96363787872 has 96 divisors (see below), whose sum is σ = 276078426624. Its totient is φ = 29187648000.

The previous prime is 96363787859. The next prime is 96363787901. The reversal of 96363787872 is 27878736369.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×963637878722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2395122 + ... + 2435022.

It is an arithmetic number, because the mean of its divisors is an integer number (2875816944).

Almost surely, 296363787872 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 96363787872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138039213312).

96363787872 is an abundant number, since it is smaller than the sum of its proper divisors (179714638752).

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

96363787872 is a wasteful number, since it uses less digits than its factorization.

96363787872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42212 (or 42204 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 66.

The spelling of 96363787872 in words is "ninety-six billion, three hundred sixty-three million, seven hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2287 4574 6861 9148 13722 18296 25157 27444 36592 39901 50314 54888 73184 75471 79802 100628 109776 119703 150942 159604 201256 219552 239406 301884 319208 402512 438911 478812 603768 638416 805024 877822 957624 1207536 1276832 1316733 1755644 1915248 2415072 2633466 3511288 3830496 5266932 7022576 10533864 14045152 21067728 42135456 91253587 182507174 273760761 365014348 547521522 730028696 1003789457 1095043044 1460057392 2007578914 2190086088 2920114784 3011368371 4015157828 4380172176 6022736742 8030315656 8760344352 12045473484 16060631312 24090946968 32121262624 48181893936 96363787872