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2124137904 = 243723512689
BaseRepresentation
bin111111010011011…
…1100010110110000
312111000221101102020
41332212330112300
513322234403104
6550435351440
7103431605610
oct17646742660
95430841366
102124137904
119a0025279
124b3452580
1327b0bc845
14162170a40
15c67342d9
hex7e9bc5b0

2124137904 has 80 divisors (see below), whose sum is σ = 6276264960. Its totient is φ = 606412800.

The previous prime is 2124137903. The next prime is 2124137971. The reversal of 2124137904 is 4097314212.

It is not an unprimeable number, because it can be changed into a prime (2124137903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788592 + ... + 791280.

It is an arithmetic number, because the mean of its divisors is an integer number (78453312).

Almost surely, 22124137904 is an apocalyptic number.

2124137904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2124137904 is an abundant number, since it is smaller than the sum of its proper divisors (4152127056).

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

2124137904 is a wasteful number, since it uses less digits than its factorization.

2124137904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2124137904 is about 46088.3705938928. The cubic root of 2124137904 is about 1285.4669136502.

The spelling of 2124137904 in words is "two billion, one hundred twenty-four million, one hundred thirty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2351 2689 4702 5378 7053 8067 9404 10756 14106 16134 16457 18808 18823 21512 28212 32268 32914 37616 37646 43024 49371 56424 56469 64536 65828 75292 98742 112848 112938 129072 131656 150584 197484 225876 263312 301168 394968 451752 789936 903504 6321839 12643678 18965517 25287356 37931034 44252873 50574712 75862068 88505746 101149424 132758619 151724136 177011492 265517238 303448272 354022984 531034476 708045968 1062068952 2124137904