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5966680000 = 2654433469
BaseRepresentation
bin1011000111010010…
…00100111111000000
3120101211100202020011
411203221010333000
544204432230000
62424022354304
7300600641341
oct54351047700
916354322204
105966680000
112592042aa6
1211a628b994
137412008a8
144086180c8
1524dc552ba
hex163a44fc0

5966680000 has 140 divisors (see below), whose sum is σ = 15143871160. Its totient is φ = 2330496000.

The previous prime is 5966679931. The next prime is 5966680063. The reversal of 5966680000 is 866695.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1718266 + ... + 1721734.

Almost surely, 25966680000 is an apocalyptic number.

5966680000 is a gapful number since it is divisible by the number (50) 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 5966680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571935580).

5966680000 is an abundant number, since it is smaller than the sum of its proper divisors (9177191160).

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

5966680000 is an equidigital number, since it uses as much as digits as its factorization.

5966680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 5966680000 is about 77244.2878146986. The cubic root of 5966680000 is about 1813.7506548631.

The spelling of 5966680000 in words is "five billion, nine hundred sixty-six million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 160 172 200 215 250 320 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1600 1720 2000 2150 2500 2752 3440 3469 4000 4300 5000 5375 6880 6938 8000 8600 10000 10750 13760 13876 17200 17345 20000 21500 26875 27752 34400 34690 40000 43000 53750 55504 68800 69380 86000 86725 107500 111008 138760 149167 172000 173450 215000 222016 277520 298334 344000 346900 430000 433625 555040 596668 693800 745835 860000 867250 1110080 1193336 1387600 1491670 1720000 1734500 2168125 2386672 2775200 2983340 3469000 3729175 4336250 4773344 5550400 5966680 6938000 7458350 8672500 9546688 11933360 13876000 14916700 17345000 18645875 23866720 27752000 29833400 34690000 37291750 47733440 59666800 69380000 74583500 93229375 119333600 138760000 149167000 186458750 238667200 298334000 372917500 596668000 745835000 1193336000 1491670000 2983340000 5966680000