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9899981936 = 2413315359491
BaseRepresentation
bin10010011100001010…
…11011110001110000
3221112221120012010122
421032011123301300
5130233343410221
64314210545412
7500221313045
oct111605336160
927487505118
109899981936
114220310a59
121b03598268
13c1a06b6a0
1469cb691cc
153ce202eab
hex24e15bc70

9899981936 has 160 divisors (see below), whose sum is σ = 22138583040. Its totient is φ = 4256179200.

The previous prime is 9899981929. The next prime is 9899981957. The reversal of 9899981936 is 6391899989.

It is a self number, because there is not a number n which added to its sum of digits gives 9899981936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20162651 + ... + 20163141.

It is an arithmetic number, because the mean of its divisors is an integer number (138366144).

Almost surely, 29899981936 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 9899981936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069291520).

9899981936 is an abundant number, since it is smaller than the sum of its proper divisors (12238601104).

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

9899981936 is a wasteful number, since it uses less digits than its factorization.

9899981936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its digits is 68024448, while the sum is 71.

The square root of 9899981936 is about 99498.6529356051. The cubic root of 9899981936 is about 2147.2278630401.

The spelling of 9899981936 in words is "nine billion, eight hundred ninety-nine million, nine hundred eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 52 53 59 62 104 106 118 124 208 212 236 248 403 424 472 491 496 689 767 806 848 944 982 1378 1534 1612 1643 1829 1964 2756 3068 3127 3224 3286 3658 3928 5512 6136 6254 6383 6448 6572 7316 7856 11024 12272 12508 12766 13144 14632 15221 21359 23777 25016 25532 26023 26288 28969 29264 30442 40651 42718 47554 50032 51064 52046 57938 60884 81302 85436 95108 96937 102128 104092 115876 121768 162604 170872 190216 193874 197873 208184 231752 243536 325208 338299 341744 376597 380432 387748 395746 416368 463504 650416 676598 753194 775496 791492 806713 898039 1260181 1353196 1506388 1535357 1550992 1582984 1613426 1796078 2520362 2706392 3012776 3070714 3165968 3226852 3592156 5040724 5412784 6025552 6141428 6453704 7184312 10081448 10487269 11674507 12282856 12907408 14368624 19959641 20162896 20974538 23349014 24565712 39919282 41949076 46698028 47596067 79838564 83898152 93396056 95192134 159677128 167796304 186792112 190384268 319354256 380768536 618748871 761537072 1237497742 2474995484 4949990968 9899981936