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9899977344 = 273731791973
BaseRepresentation
bin10010011100001010…
…11010101010000000
3221112221112221211120
421032011122222000
5130233343233334
64314210512240
7500221263465
oct111605325200
927487487746
109899977344
114220308564
121b03595680
13c1a06957a
1469cb6766c
153ce201949
hex24e15aa80

9899977344 has 128 divisors (see below), whose sum is σ = 26819553600. Its totient is φ = 3234963456.

The previous prime is 9899977343. The next prime is 9899977357. The reversal of 9899977344 is 4437799989.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (9899977343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5016742 + ... + 5018714.

Almost surely, 29899977344 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 9899977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13409776800).

9899977344 is an abundant number, since it is smaller than the sum of its proper divisors (16919576256).

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

9899977344 is a wasteful number, since it uses less digits than its factorization.

9899977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2230 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 69.

The square root of 9899977344 is about 99498.6298599131. The cubic root of 9899977344 is about 2147.2275310506.

The spelling of 9899977344 in words is "nine billion, eight hundred ninety-nine million, nine hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 179 192 219 292 358 384 438 537 584 716 876 1074 1168 1432 1752 1973 2148 2336 2864 3504 3946 4296 4672 5728 5919 7008 7892 8592 9344 11456 11838 13067 14016 15784 17184 22912 23676 26134 28032 31568 34368 39201 47352 52268 63136 68736 78402 94704 104536 126272 144029 156804 189408 209072 252544 288058 313608 353167 378816 418144 432087 576116 627216 706334 757632 836288 864174 1059501 1152232 1254432 1412668 1672576 1728348 2119002 2304464 2508864 2825336 3456696 4238004 4608928 5017728 5650672 6913392 8476008 9217856 11301344 13826784 16952016 18435712 22602688 25781191 27653568 33904032 45205376 51562382 55307136 67808064 77343573 103124764 135616128 154687146 206249528 309374292 412499056 618748584 824998112 1237497168 1649996224 2474994336 3299992448 4949988672 9899977344