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99999561424 = 2472315996869
BaseRepresentation
bin101110100100001110…
…0000011011011010000
3100120010010211001122011
41131020130003123100
53114244341431144
6113534505352304
710140040150600
oct1351034033320
9316103731564
1099999561424
1139456166644
1217469798694
1395786b7c29
144ba8d88c00
15290419ea34
hex17487036d0

99999561424 has 120 divisors (see below), whose sum is σ = 233074368000. Its totient is φ = 41399205120.

The previous prime is 99999561379. The next prime is 99999561433. The reversal of 99999561424 is 42416599999.

It is a super-3 number, since 3×999995614243 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99999561424.

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, 14554662 + ... + 14561530.

It is an arithmetic number, because the mean of its divisors is an integer number (1942286400).

Almost surely, 299999561424 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 99999561424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116537184000).

99999561424 is an abundant number, since it is smaller than the sum of its proper divisors (133074806576).

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

99999561424 is a wasteful number, since it uses less digits than its factorization.

99999561424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521 (or 7508 counting only the distinct ones).

The product of its digits is 56687040, while the sum is 67.

The spelling of 99999561424 in words is "ninety-nine billion, nine hundred ninety-nine million, five hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 599 784 868 1198 1519 1736 2396 3038 3472 4193 4792 6076 6869 8386 9584 12152 13738 16772 18569 24304 27476 29351 33544 37138 48083 54952 58702 67088 74276 96166 109904 117404 129983 148552 192332 212939 234808 259966 297104 336581 384664 425878 469616 519932 673162 769328 851756 909881 1039864 1346324 1490573 1703512 1819762 2079728 2692648 2981146 3407024 3639524 4114531 5385296 5962292 7279048 8229062 10434011 11924584 14558096 16458124 20868022 23849168 28801717 32916248 41736044 57603434 65832496 83472088 115206868 127550461 166944176 201612019 230413736 255100922 403224038 460827472 510201844 806448076 892853227 1020403688 1612896152 1785706454 2040807376 3225792304 3571412908 6249972589 7142825816 12499945178 14285651632 24999890356 49999780712 99999561424