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6010985000 = 23541936229
BaseRepresentation
bin1011001100100100…
…00101101000101000
3120111220201200021002
411212102011220220
544302303010000
62432244134132
7301646346416
oct54622055050
916456650232
106010985000
112605053aa9
1211b9097348
1374a443a77
1441046c2b6
15252aa78d5
hex166485a28

6010985000 has 80 divisors (see below), whose sum is σ = 14158983300. Its totient is φ = 2391552000.

The previous prime is 6010984999. The next prime is 6010985017. The reversal of 6010985000 is 5890106.

It can be written as a sum of positive squares in 10 ways, for example, as 983324164 + 5027660836 = 31358^2 + 70906^2 .

It is a super-2 number, since 2×60109850002 = 72263881340450000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 961886 + ... + 968114.

Almost surely, 26010985000 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 6010985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079491650).

6010985000 is an abundant number, since it is smaller than the sum of its proper divisors (8147998300).

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

6010985000 is a wasteful number, since it uses less digits than its factorization.

6010985000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 6010985000 is about 77530.5423687981. The cubic root of 6010985000 is about 1818.2288650705.

The spelling of 6010985000 in words is "six billion, ten million, nine hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 193 200 250 386 500 625 772 965 1000 1250 1544 1930 2500 3860 4825 5000 6229 7720 9650 12458 19300 24125 24916 31145 38600 48250 49832 62290 96500 120625 124580 155725 193000 241250 249160 311450 482500 622900 778625 965000 1202197 1245800 1557250 2404394 3114500 3893125 4808788 6010985 6229000 7786250 9617576 12021970 15572500 24043940 30054925 31145000 48087880 60109850 120219700 150274625 240439400 300549250 601098500 751373125 1202197000 1502746250 3005492500 6010985000