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9905690088 = 2332729367079
BaseRepresentation
bin10010011100110110…
…01101010111101000
3221120100022012020200
421032123031113220
5130241324040323
64314533152200
7500320655640
oct111633152750
927510265220
109905690088
11422355a638
121b0548b660
13c1b2b98a8
1469d813520
153ce97e443
hex24e6cd5e8

9905690088 has 96 divisors (see below), whose sum is σ = 30765571200. Its totient is φ = 2820495744.

The previous prime is 9905690087. The next prime is 9905690153. The reversal of 9905690088 is 8800965099.

It is a super-2 number, since 2×99056900882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9905690083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114133 + ... + 181211.

It is an arithmetic number, because the mean of its divisors is an integer number (320474700).

Almost surely, 29905690088 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 9905690088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15382785600).

9905690088 is an abundant number, since it is smaller than the sum of its proper divisors (20859881112).

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

9905690088 is a wasteful number, since it uses less digits than its factorization.

9905690088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67391 (or 67384 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 9905690088 is about 99527.3333712905. Note that the first 4 decimals coincide. The cubic root of 9905690088 is about 2147.6404681064.

The spelling of 9905690088 in words is "nine billion, nine hundred five million, six hundred ninety thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 293 504 586 879 1172 1758 2051 2344 2637 3516 4102 5274 6153 7032 8204 10548 12306 16408 18459 21096 24612 36918 49224 67079 73836 134158 147672 201237 268316 402474 469553 536632 603711 804948 939106 1207422 1408659 1609896 1878212 2414844 2817318 3756424 4225977 4829688 5634636 8451954 11269272 16903908 19654147 33807816 39308294 58962441 78616588 117924882 137579029 157233176 176887323 235849764 275158058 353774646 412737087 471699528 550316116 707549292 825474174 1100632232 1238211261 1415098584 1650948348 2476422522 3301896696 4952845044 9905690088