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4293974688 = 253591136709
BaseRepresentation
bin1111111111110000…
…1101101010100000
3102002020212111220120
43333330031222200
532243224142223
61550030440240
7211260116433
oct37774155240
912066774816
104293974688
111903922813
129ba063080
135357bcb33
142ca3d981a
151a1e93be3
hexfff0daa0

4293974688 has 96 divisors (see below), whose sum is σ = 11565892800. Its totient is φ = 1394405376.

The previous prime is 4293974651. The next prime is 4293974693. The reversal of 4293974688 is 8864793924.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636678 + ... + 643386.

It is an arithmetic number, because the mean of its divisors is an integer number (120478050).

Almost surely, 24293974688 is an apocalyptic number.

4293974688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4293974688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782946400).

4293974688 is an abundant number, since it is smaller than the sum of its proper divisors (7271918112).

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

4293974688 is a wasteful number, since it uses less digits than its factorization.

4293974688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6886 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The square root of 4293974688 is about 65528.4265643545. The cubic root of 4293974688 is about 1625.3734448064.

The spelling of 4293974688 in words is "four billion, two hundred ninety-three million, nine hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 113 118 177 226 236 339 354 452 472 678 708 904 944 1356 1416 1808 1888 2712 2832 3616 5424 5664 6667 6709 10848 13334 13418 20001 20127 26668 26836 40002 40254 53336 53672 80004 80508 106672 107344 160008 161016 213344 214688 320016 322032 395831 640032 644064 758117 791662 1187493 1516234 1583324 2274351 2374986 3032468 3166648 4548702 4749972 6064936 6333296 9097404 9499944 12129872 12666592 18194808 18999888 24259744 36389616 37999776 44728903 72779232 89457806 134186709 178915612 268373418 357831224 536746836 715662448 1073493672 1431324896 2146987344 4293974688