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2664006150 = 2352132195531
BaseRepresentation
bin1001111011001001…
…1000001000000110
320212122210112102110
42132302120020012
520423441144100
61120202521450
7123005451531
oct23662301006
96778715373
102664006150
111147842283
12624206286
13335bc3500
141b3b43a18
15108d25250
hex9ec98206

2664006150 has 144 divisors (see below), whose sum is σ = 7531928640. Its totient is φ = 621129600.

The previous prime is 2664006143. The next prime is 2664006161. The reversal of 2664006150 is 516004662.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 478885 + ... + 484415.

It is an arithmetic number, because the mean of its divisors is an integer number (52305060).

Almost surely, 22664006150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664006150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765964320).

2664006150 is an abundant number, since it is smaller than the sum of its proper divisors (4867922490).

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

2664006150 is a wasteful number, since it uses less digits than its factorization.

2664006150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2664006150 is about 51614.0111791362. The cubic root of 2664006150 is about 1386.2612204392.

The spelling of 2664006150 in words is "two billion, six hundred sixty-four million, six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 65 75 78 95 114 130 150 169 190 195 247 285 325 338 390 475 494 507 570 650 741 845 950 975 1014 1235 1425 1482 1690 1950 2470 2535 2850 3211 3705 4225 5070 5531 6175 6422 7410 8450 9633 11062 12350 12675 16055 16593 18525 19266 25350 27655 32110 33186 37050 48165 55310 71903 80275 82965 96330 105089 138275 143806 160550 165930 210178 215709 240825 276550 315267 359515 414825 431418 481650 525445 630534 719030 829650 934739 1050890 1078545 1366157 1576335 1797575 1869478 2157090 2627225 2732314 2804217 3152670 3595150 4098471 4673695 5254450 5392725 5608434 6830785 7881675 8196942 9347390 10785450 13661570 14021085 15763350 17760041 20492355 23368475 28042170 34153925 35520082 40984710 46736950 53280123 68307850 70105425 88800205 102461775 106560246 140210850 177600410 204923550 266400615 444001025 532801230 888002050 1332003075 2664006150