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4678909880 = 2352917232341
BaseRepresentation
bin1000101101110001…
…00111111110111000
3110002002012020201112
410112320213332320
534040300104010
62052141135452
7223643035451
oct42670477670
913062166645
104678909880
111a91139277
12aa6b5a588
13597488438
1432559c128
151c5b7da05
hex116e27fb8

4678909880 has 64 divisors (see below), whose sum is σ = 10901541600. Its totient is φ = 1805207040.

The previous prime is 4678909861. The next prime is 4678909883. The reversal of 4678909880 is 889098764.

It is a super-2 number, since 2×46789098802 = 43784395330323228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678909883) by changing a digit.

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, 1997510 + ... + 1999850.

Almost surely, 24678909880 is an apocalyptic number.

4678909880 is a gapful number since it is divisible by the number (40) 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 4678909880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450770800).

4678909880 is an abundant number, since it is smaller than the sum of its proper divisors (6222631720).

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

4678909880 is a wasteful number, since it uses less digits than its factorization.

4678909880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 59.

The square root of 4678909880 is about 68402.5575545242. The cubic root of 4678909880 is about 1672.5594373086.

The spelling of 4678909880 in words is "four billion, six hundred seventy-eight million, nine hundred nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1723 2341 3446 4682 6892 8615 9364 11705 13784 17230 18728 23410 34460 46820 49967 67889 68920 93640 99934 135778 199868 249835 271556 339445 399736 499670 543112 678890 999340 1357780 1998680 2715560 4033543 8067086 16134172 20167715 32268344 40335430 80670860 116972747 161341720 233945494 467890988 584863735 935781976 1169727470 2339454940 4678909880