Search a number
-
+
9991208880 = 2432516385133
BaseRepresentation
bin10010100111000010…
…11011111110110000
3221210022012222222100
421103201123332300
5130430222141010
64331230140400
7502406605602
oct112341337660
927708188870
109991208880
114267860124
121b2a051700
13c32c2cc23
146aad15172
153d72232c0
hex25385bfb0

9991208880 has 120 divisors (see below), whose sum is σ = 33760057968. Its totient is φ = 2647945728.

The previous prime is 9991208837. The next prime is 9991208977. The reversal of 9991208880 is 888021999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 74794 + ... + 159926.

Almost surely, 29991208880 is an apocalyptic number.

9991208880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9991208880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880028984).

9991208880 is an abundant number, since it is smaller than the sum of its proper divisors (23768849088).

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

9991208880 is a wasteful number, since it uses less digits than its factorization.

9991208880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85315 (or 85306 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 9991208880 is about 99956.0347352775. The cubic root of 9991208880 is about 2153.8031751419.

The spelling of 9991208880 in words is "nine billion, nine hundred ninety-one million, two hundred eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 163 180 240 326 360 489 652 720 815 978 1304 1467 1630 1956 2445 2608 2934 3260 3912 4890 5868 6520 7335 7824 9780 11736 13040 14670 19560 23472 29340 39120 58680 85133 117360 170266 255399 340532 425665 510798 681064 766197 851330 1021596 1276995 1362128 1532394 1702660 2043192 2553990 3064788 3405320 3830985 4086384 5107980 6129576 6810640 7661970 10215960 12259152 13876679 15323940 20431920 27753358 30647880 41630037 55506716 61295760 69383395 83260074 111013432 124890111 138766790 166520148 208150185 222026864 249780222 277533580 333040296 416300370 499560444 555067160 624450555 666080592 832600740 999120888 1110134320 1248901110 1665201480 1998241776 2497802220 3330402960 4995604440 9991208880