Search a number
-
+
2648357400630 = 2355922744314879
BaseRepresentation
bin100110100010011110011…
…001101111000000110110
3100101011212120200101100110
4212202132121233000312
5321342313443310010
65344345534123450
7362223523323264
oct46423631570066
910334776611313
102648357400630
1193118678a197
12369329650586
1316297b861ab6
1492277241434
1548d533c9120
hex2689e66f036

2648357400630 has 128 divisors (see below), whose sum is σ = 6507354931200. Its totient is φ = 689593633664.

The previous prime is 2648357400523. The next prime is 2648357400631. The reversal of 2648357400630 is 360047538462.

2648357400630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2648357400630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648357400631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177985531 + ... + 178000409.

It is an arithmetic number, because the mean of its divisors is an integer number (50838710400).

Almost surely, 22648357400630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648357400630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253677465600).

2648357400630 is an abundant number, since it is smaller than the sum of its proper divisors (3858997530570).

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

2648357400630 is a wasteful number, since it uses less digits than its factorization.

2648357400630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15618.

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 2648357400630 in words is "two trillion, six hundred forty-eight billion, three hundred fifty-seven million, four hundred thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 227 295 354 443 454 590 681 885 886 1135 1329 1362 1770 2215 2270 2658 3405 4430 6645 6810 13290 13393 14879 26137 26786 29758 40179 44637 52274 66965 74395 78411 80358 89274 100561 130685 133930 148790 156822 200895 201122 223185 261370 301683 392055 401790 446370 502805 603366 784110 877861 1005610 1508415 1755722 2633583 3016830 3377533 4389305 5267166 5933099 6591397 6755066 8778610 10132599 11866198 13167915 13182794 16887665 17799297 19774191 20265198 26335830 29665495 32956985 33775330 35598594 39548382 50662995 59330990 65913970 88996485 98870955 101325990 177992970 197741910 199274447 388892423 398548894 597823341 777784846 996372235 1166677269 1195646682 1496247119 1944462115 1992744470 2333354538 2989116705 2992494238 3888924230 4488741357 5833386345 5978233410 7481235595 8977482714 11666772690 14962471190 22443706785 44887413570 88278580021 176557160042 264835740063 441392900105 529671480126 882785800210 1324178700315 2648357400630