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9991863440 = 2451361239659
BaseRepresentation
bin10010100111000111…
…11011110010010000
3221210100110020212022
421103203323302100
5130430404112230
64331252151012
7502415303126
oct112343736220
927710406768
109991863440
114268167989
121b2a308468
13c330cbb40
146ab045916
153d73021e5
hex2538fbc90

9991863440 has 160 divisors (see below), whose sum is σ = 25573363200. Its totient is φ = 3608156160.

The previous prime is 9991863437. The next prime is 9991863457. The reversal of 9991863440 is 443681999.

9991863440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15161831 + ... + 15162489.

It is an arithmetic number, because the mean of its divisors is an integer number (159833520).

Almost surely, 29991863440 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 9991863440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786681600).

9991863440 is an abundant number, since it is smaller than the sum of its proper divisors (15581499760).

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

9991863440 is a wasteful number, since it uses less digits than its factorization.

9991863440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The square root of 9991863440 is about 99959.3089211805. The cubic root of 9991863440 is about 2153.8502085769.

The spelling of 9991863440 in words is "nine billion, nine hundred ninety-one million, eight hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 61 65 80 104 122 130 208 239 244 260 305 478 488 520 610 659 793 956 976 1040 1195 1220 1318 1586 1912 2390 2440 2636 3107 3172 3295 3824 3965 4780 4880 5272 6214 6344 6590 7930 8567 9560 10544 12428 12688 13180 14579 15535 15860 17134 19120 24856 26360 29158 31070 31720 34268 40199 42835 49712 52720 58316 62140 63440 68536 72895 80398 85670 116632 124280 137072 145790 157501 160796 171340 189527 200995 233264 248560 291580 315002 321592 342680 379054 401990 522587 583160 630004 643184 685360 758108 787505 803980 947635 1045174 1166320 1260008 1516216 1575010 1607960 1895270 2047513 2090348 2520016 2612935 3032432 3150020 3215920 3790540 4095026 4180696 5225870 6300040 7581080 8190052 8361392 9607561 10237565 10451740 12600080 15162160 16380104 19215122 20475130 20903480 32760208 38430244 40950260 41806960 48037805 76860488 81900520 96075610 124898293 153720976 163801040 192151220 249796586 384302440 499593172 624491465 768604880 999186344 1248982930 1998372688 2497965860 4995931720 9991863440