Search a number
-
+
2650641226640 = 2451122557107089
BaseRepresentation
bin100110100100100110100…
…001110101101110010000
3100101101202202002202122222
4212210212201311232100
5321412003123223030
65345404320320212
7362334234452201
oct46444641655620
910341682082588
102650641226640
11932148963500
12369866473068
13162c53a63134
149241269d5a8
1548e38b533e5
hex26926875b90

2650641226640 has 120 divisors (see below), whose sum is σ = 6776634210360. Its totient is φ = 963483586560.

The previous prime is 2650641226619. The next prime is 2650641226657. The reversal of 2650641226640 is 466221460562.

It can be written as a sum of positive squares in 4 ways, for example, as 7129438096 + 2643511788544 = 84436^2 + 1625888^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2650641226591 and 2650641226600.

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 23 ways as a sum of consecutive naturals, for example, 24698216 + ... + 24805304.

It is an arithmetic number, because the mean of its divisors is an integer number (56471951753).

Almost surely, 22650641226640 is an apocalyptic number.

2650641226640 is a gapful number since it is divisible by the number (20) 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 2650641226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388317105180).

2650641226640 is an abundant number, since it is smaller than the sum of its proper divisors (4125992983720).

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

2650641226640 is a wasteful number, since it uses less digits than its factorization.

2650641226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109681 (or 109664 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 2650641226640 in words is "two trillion, six hundred fifty billion, six hundred forty-one million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 2557 4840 5114 9680 10228 12785 20456 25570 28127 40912 51140 56254 102280 107089 112508 140635 204560 214178 225016 281270 309397 428356 450032 535445 562540 618794 856712 1070890 1125080 1177979 1237588 1546985 1713424 2141780 2250160 2355958 2475176 3093970 4283560 4711916 4950352 5889895 6187940 8567120 9423832 11779790 12375880 12957769 18847664 23559580 24751760 25915538 47119160 51831076 64788845 94238320 103662152 129577690 207324304 259155380 273826573 518310760 547653146 1036621520 1095306292 1369132865 2190612584 2738265730 3012092303 4381225168 5476531460 6024184606 10953062920 12048369212 15060461515 21906125840 24096738424 30120923030 33133015333 48193476848 60241846060 66266030666 120483692120 132532061332 165665076665 240967384240 265064122664 331330153330 530128245328 662660306660 1325320613320 2650641226640