Search a number
-
+
6060005000604 = 2233294913940667
BaseRepresentation
bin101100000101111010001…
…1100100000010110011100
3210110022221011112102012000
41120023310130200112130
51243241342240004404
620515532230242300
71163551400413662
oct130136434402634
923408834472160
106060005000604
111a27040925545
1281a5774b6390
1334c5c0b4b109
1416d43d1c4c32
15a797bd77339
hex582f472059c

6060005000604 has 96 divisors (see below), whose sum is σ = 16285992710400. Its totient is φ = 1946373750720.

The previous prime is 6060005000573. The next prime is 6060005000641. The reversal of 6060005000604 is 4060005000606.

6060005000604 is a `hidden beast` number, since 6 + 0 + 6 + 0 + 0 + 0 + 50 + 0 + 0 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 432522 + ... + 3508145.

It is an arithmetic number, because the mean of its divisors is an integer number (169645757400).

Almost surely, 26060005000604 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 6060005000604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142996355200).

6060005000604 is an abundant number, since it is smaller than the sum of its proper divisors (10225987709796).

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

6060005000604 is a wasteful number, since it uses less digits than its factorization.

6060005000604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941200 (or 3941192 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 6060005000604 in words is "six trillion, sixty billion, five million, six hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 491 522 783 982 1044 1473 1566 1964 2946 3132 4419 5892 8838 13257 14239 17676 26514 28478 42717 53028 56956 85434 128151 170868 256302 384453 512604 768906 1537812 3940667 7881334 11822001 15762668 23644002 35466003 47288004 70932006 106398009 114279343 141864012 212796018 228558686 342838029 425592036 457117372 685676058 1028514087 1371352116 1934867497 2057028174 3085542261 3869734994 4114056348 5804602491 6171084522 7739469988 11609204982 12342169044 17413807473 23218409964 34827614946 52241422419 56111157413 69655229892 104482844838 112222314826 168333472239 208965689676 224444629652 336666944478 505000416717 673333888956 1010000833434 1515001250151 2020001666868 3030002500302 6060005000604