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6066048660 = 2235717980687
BaseRepresentation
bin1011010011001000…
…01000111010010100
3120122202100012101220
411221210020322110
544410402024120
62441532250340
7303215364030
oct55144107224
916582305356
106066048660
112633143161
1212136109b0
13758982c09
144178c31c0
15257832b40
hex169908e94

6066048660 has 96 divisors (see below), whose sum is σ = 19520040960. Its totient is φ = 1378762368.

The previous prime is 6066048649. The next prime is 6066048679. The reversal of 6066048660 is 668406606.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34837 + ... + 115523.

It is an arithmetic number, because the mean of its divisors is an integer number (203333760).

Almost surely, 26066048660 is an apocalyptic number.

6066048660 is a gapful number since it is divisible by the number (60) 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 6066048660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9760020480).

6066048660 is an abundant number, since it is smaller than the sum of its proper divisors (13453992300).

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

6066048660 is a wasteful number, since it uses less digits than its factorization.

6066048660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80885 (or 80883 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 6066048660 is about 77884.8422993845. The cubic root of 6066048660 is about 1823.7639629450.

The spelling of 6066048660 in words is "six billion, sixty-six million, forty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 179 210 358 420 537 716 895 1074 1253 1790 2148 2506 2685 3580 3759 5012 5370 6265 7518 10740 12530 15036 18795 25060 37590 75180 80687 161374 242061 322748 403435 484122 564809 806870 968244 1129618 1210305 1613740 1694427 2259236 2420610 2824045 3388854 4841220 5648090 6777708 8472135 11296180 14442973 16944270 28885946 33888540 43328919 57771892 72214865 86657838 101100811 144429730 173315676 202201622 216644595 288859460 303302433 404403244 433289190 505504055 606604866 866578380 1011008110 1213209732 1516512165 2022016220 3033024330 6066048660