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5466361000 = 23537176991
BaseRepresentation
bin1010001011101001…
…00000110010101000
3112002221220220120211
411011310200302220
542143342023000
62302231030504
7252314205352
oct50564406250
915087826524
105466361000
112355688a21
12108680b434
13691666549
1439bdbc0d2
1521ed777ba
hex145d20ca8

5466361000 has 64 divisors (see below), whose sum is σ = 12971612160. Its totient is φ = 2155720000.

The previous prime is 5466360983. The next prime is 5466361001. The reversal of 5466361000 is 1636645.

It is a super-2 number, since 2×54663610002 = 59762205164642000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5466361001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32505 + ... + 109495.

It is an arithmetic number, because the mean of its divisors is an integer number (202681440).

Almost surely, 25466361000 is an apocalyptic number.

5466361000 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 5466361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485806080).

5466361000 is an abundant number, since it is smaller than the sum of its proper divisors (7505251160).

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

5466361000 is a wasteful number, since it uses less digits than its factorization.

5466361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77083 (or 77069 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 5466361000 is about 73934.8429361962. The cubic root of 5466361000 is about 1761.5680971291.

Adding to 5466361000 its reverse (1636645), we get a palindrome (5467997645).

The spelling of 5466361000 in words is "five billion, four hundred sixty-six million, three hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2840 3550 7100 8875 14200 17750 35500 71000 76991 153982 307964 384955 615928 769910 1539820 1924775 3079640 3849550 5466361 7699100 9623875 10932722 15398200 19247750 21865444 27331805 38495500 43730888 54663610 76991000 109327220 136659025 218654440 273318050 546636100 683295125 1093272200 1366590250 2733180500 5466361000