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6006848246060 = 22529312231498139
BaseRepresentation
bin101011101101001010000…
…0011100101000100101100
3210021020201120201111102012
41113122110003211010230
51241404011122333220
620435301420420352
71156660204434134
oct127322403450454
923236646644365
106006848246060
111a06543267042
128102013a76b8
1334759c0a16bc
1416aa39525ac4
15a63ba2c7ac5
hex576940e512c

6006848246060 has 96 divisors (see below), whose sum is σ = 13530721075200. Its totient is φ = 2234982193920.

The previous prime is 6006848246059. The next prime is 6006848246107. The reversal of 6006848246060 is 606428486006.

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, 3260471 + ... + 4758609.

It is an arithmetic number, because the mean of its divisors is an integer number (140945011200).

Almost surely, 26006848246060 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 6006848246060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765360537600).

6006848246060 is an abundant number, since it is smaller than the sum of its proper divisors (7523872829140).

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

6006848246060 is a wasteful number, since it uses less digits than its factorization.

6006848246060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498431 (or 1498429 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 6006848246060 in words is "six trillion, six billion, eight hundred forty-eight million, two hundred forty-six thousand, sixty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 223 290 310 446 580 620 892 899 1115 1798 2230 3596 4460 4495 6467 6913 8990 12934 13826 17980 25868 27652 32335 34565 64670 69130 129340 138260 200477 400954 801908 1002385 1498139 2004770 2996278 4009540 5992556 7490695 14981390 29962780 43446031 46442309 86892062 92884618 173784124 185769236 217230155 232211545 334084997 434460310 464423090 668169994 868920620 928846180 1336339988 1346826961 1670424985 2693653922 3340849970 5387307844 6681699940 6734134805 9688464913 10356634907 13468269610 19376929826 20713269814 26936539220 38753859652 41426539628 48442324565 51783174535 96884649130 103566349070 193769298260 207132698140 300342412303 600684824606 1201369649212 1501712061515 3003424123030 6006848246060