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1984994088 = 2337112937039
BaseRepresentation
bin111011001010000…
…1001101100101000
312010100010010222120
41312110021230220
513031124302323
6524545151240
7100122112530
oct16624115450
95110103876
101984994088
11929528490
1247492b520
1325832211c
1414b8b04c0
15b93eb5e3
hex76509b28

1984994088 has 128 divisors (see below), whose sum is σ = 6400512000. Its totient is φ = 497790720.

The previous prime is 1984994083. The next prime is 1984994101. The reversal of 1984994088 is 8804994891.

It is not an unprimeable number, because it can be changed into a prime (1984994083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35073 + ... + 72111.

It is an arithmetic number, because the mean of its divisors is an integer number (50004000).

Almost surely, 21984994088 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 1984994088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200256000).

1984994088 is an abundant number, since it is smaller than the sum of its proper divisors (4415517912).

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

1984994088 is a wasteful number, since it uses less digits than its factorization.

1984994088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37095 (or 37091 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 60.

The square root of 1984994088 is about 44553.2724724009. The cubic root of 1984994088 is about 1256.7620920985.

The spelling of 1984994088 in words is "one billion, nine hundred eighty-four million, nine hundred ninety-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 29 33 42 44 56 58 66 77 84 87 88 116 132 154 168 174 203 231 232 264 308 319 348 406 462 609 616 638 696 812 924 957 1218 1276 1624 1848 1914 2233 2436 2552 3828 4466 4872 6699 7656 8932 13398 17864 26796 37039 53592 74078 111117 148156 222234 259273 296312 407429 444468 518546 777819 814858 888936 1037092 1074131 1222287 1555638 1629716 2074184 2148262 2444574 2852003 3111276 3222393 3259432 4296524 4889148 5704006 6222552 6444786 7518917 8556009 8593048 9778296 11408012 11815441 12889572 15037834 17112018 22556751 22816024 23630882 25779144 30075668 34224036 35446323 45113502 47261764 60151336 68448072 70892646 82708087 90227004 94523528 141785292 165416174 180454008 248124261 283570584 330832348 496248522 661664696 992497044 1984994088