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96000550096 = 2411210124861
BaseRepresentation
bin101100101101000010…
…1000010010011010000
3100011210102222020101111
41121122011002103100
53033102120100341
6112034012543104
76635661132463
oct1313205022320
9304712866344
1096000550096
1137793898200
1216732481a94
13908c051539
144909c112da
15276d072681
hex165a1424d0

96000550096 has 90 divisors (see below), whose sum is σ = 206534205878. Its totient is φ = 43195680000.

The previous prime is 96000550081. The next prime is 96000550097. The reversal of 96000550096 is 69005500069.

It can be written as a sum of positive squares in 3 ways, for example, as 85126231696 + 10874318400 = 291764^2 + 104280^2 .

It is a super-2 number, since 2×960005500962 (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 (96000550097) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19746706 + ... + 19751566.

Almost surely, 296000550096 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 96000550096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103267102939).

96000550096 is an abundant number, since it is smaller than the sum of its proper divisors (110533655782).

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

96000550096 is a wasteful number, since it uses less digits than its factorization.

96000550096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

It can be divided in two parts, 960005 and 50096, that added together give a palindrome (1010101).

The spelling of 96000550096 in words is "ninety-six billion, five hundred fifty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 101 121 176 202 242 404 484 808 968 1111 1616 1936 2222 4444 4861 8888 9722 10201 12221 17776 19444 20402 24442 38888 40804 48884 53471 77776 81608 97768 106942 112211 163216 195536 213884 224422 427768 448844 490961 588181 855536 897688 981922 1176362 1234321 1795376 1963844 2352724 2468642 3927688 4705448 4937284 5400571 7855376 9410896 9874568 10801142 19749136 21602284 43204568 49587061 59406281 86409136 99174122 118812562 198348244 237625124 396696488 475250248 545457671 793392976 950500496 1090915342 2181830684 4363661368 6000034381 8727322736 12000068762 24000137524 48000275048 96000550096