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99890921052 = 2232132310139161
BaseRepresentation
bin101110100000111110…
…1100111111001011100
3100112211120101120001200
41131001331213321130
53114034033433202
6113520025035500
710134250551036
oct1350175477134
9315746346050
1099890921052
11393aa90350a
1217439325b90
13955c03a6a0
144b98788c56
1528e988ee1c
hex1741f67e5c

99890921052 has 144 divisors (see below), whose sum is σ = 284059234368. Its totient is φ = 29367106560.

The previous prime is 99890921041. The next prime is 99890921071. The reversal of 99890921052 is 25012909899.

It is a super-2 number, since 2×998909210522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99890921052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10899352 + ... + 10908512.

It is an arithmetic number, because the mean of its divisors is an integer number (1972633572).

Almost surely, 299890921052 is an apocalyptic number.

99890921052 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

99890921052 is the 158028-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99890921052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142029617184).

99890921052 is an abundant number, since it is smaller than the sum of its proper divisors (184168313316).

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

99890921052 is a wasteful number, since it uses less digits than its factorization.

99890921052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10220 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 99890921052 in words is "ninety-nine billion, eight hundred ninety million, nine hundred twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1013 1196 1794 2026 2691 3039 3588 4052 5382 6078 9117 9161 10764 12156 13169 18234 18322 23299 26338 27483 36468 36644 39507 46598 52676 54966 69897 79014 82449 93196 109932 118521 119093 139794 158028 164898 209691 210703 237042 238186 279588 302887 329796 357279 419382 421406 474084 476372 605774 632109 714558 838764 842812 908661 1071837 1211548 1264218 1429116 1817322 1896327 2143674 2528436 2725983 2739139 3634644 3792654 4287348 5451966 5478278 7585308 8217417 9280093 10903932 10956556 16434834 18560186 24652251 27840279 32869668 37120372 49304502 55680558 83520837 98609004 111361116 120641209 167041674 213442139 241282418 334083348 361923627 426884278 482564836 640326417 723847254 853768556 1085770881 1280652834 1447694508 1920979251 2171541762 2561305668 2774747807 3841958502 4343083524 5549495614 7683917004 8324243421 11098991228 16648486842 24972730263 33296973684 49945460526 99890921052