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6000206664 = 2334127122501
BaseRepresentation
bin1011001011010001…
…11110001101001000
3120111011110002011110
411211220332031020
544242023103124
62431221130320
7301455625614
oct54550761510
916434402143
106000206664
1125a9a62091
1211b55599a0
1374813bb5a
1440cc64344
15251b79029
hex165a3e348

6000206664 has 64 divisors (see below), whose sum is σ = 15423770880. Its totient is φ = 1944000000.

The previous prime is 6000206591. The next prime is 6000206699. The reversal of 6000206664 is 4666020006.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255414 + ... + 277914.

It is an arithmetic number, because the mean of its divisors is an integer number (240996420).

Almost surely, 26000206664 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 6000206664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711885440).

6000206664 is an abundant number, since it is smaller than the sum of its proper divisors (9423564216).

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

6000206664 is a wasteful number, since it uses less digits than its factorization.

6000206664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22822 (or 22818 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6000206664 is about 77461.0009230451. Note that the first 3 decimals coincide. The cubic root of 6000206664 is about 1817.1414555598.

The spelling of 6000206664 in words is "six billion, two hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 271 328 492 542 813 984 1084 1626 2168 3252 6504 11111 22222 22501 33333 44444 45002 66666 67503 88888 90004 133332 135006 180008 266664 270012 540024 922541 1845082 2767623 3690164 5535246 6097771 7380328 11070492 12195542 18293313 22140984 24391084 36586626 48782168 73173252 146346504 250008611 500017222 750025833 1000034444 1500051666 2000068888 3000103332 6000206664