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99829285008 = 24323373477043
BaseRepresentation
bin101110011111001001…
…0100000000010010000
3100112200021102010022020
41130332102200002100
53113422244110013
6113505544011440
710132601631105
oct1347622400220
9315607363266
1099829285008
1139379035432
1217420760b80
13954c339b5b
144b90502aac
1528e4267623
hex173e4a0090

99829285008 has 160 divisors (see below), whose sum is σ = 277213971456. Its totient is φ = 30875733504.

The previous prime is 99829284941. The next prime is 99829285019. The reversal of 99829285008 is 80058292899.

It is a super-2 number, since 2×998292850082 (a number of 23 digits) contains 22 as substring.

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, 14170735 + ... + 14177777.

Almost surely, 299829285008 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 99829285008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138606985728).

99829285008 is an abundant number, since it is smaller than the sum of its proper divisors (177384686448).

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

99829285008 is a wasteful number, since it uses less digits than its factorization.

99829285008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The spelling of 99829285008 in words is "ninety-nine billion, eight hundred twenty-nine million, two hundred eighty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 347 368 444 552 592 694 851 888 1041 1104 1388 1702 1776 2082 2553 2776 3404 4164 5106 5552 6808 7043 7981 8328 10212 12839 13616 14086 15962 16656 20424 21129 23943 25678 28172 31924 38517 40848 42258 47886 51356 56344 63848 77034 84516 95772 102712 112688 127696 154068 161989 169032 191544 205424 260591 295297 308136 323978 338064 383088 485967 521182 590594 616272 647956 781773 885891 971934 1042364 1181188 1295912 1563546 1771782 1943868 2084728 2362376 2443921 2591824 3127092 3543564 3887736 4169456 4724752 4887842 5993593 6254184 7087128 7331763 7775472 9775684 11987186 12508368 14174256 14663526 17980779 19551368 23974372 29327052 35961558 39102736 47948744 56210183 58654104 71923116 90425077 95897488 112420366 117308208 143846232 168630549 180850154 224840732 271275231 287692464 337261098 361700308 449681464 542550462 674522196 723400616 899362928 1085100924 1349044392 1446801232 2079776771 2170201848 2698088784 4159553542 4340403696 6239330313 8319107084 12478660626 16638214168 24957321252 33276428336 49914642504 99829285008