Search a number
-
+
154563654630 = 235711239327961
BaseRepresentation
bin1000111111110010110…
…1100011001111100110
3112202221210210012010010
42033330231203033212
510013021243422010
6155001111311050
714111142246540
oct2177455431746
9482853705103
10154563654630
115a606176450
1225b5707b486
1311762bb2508
1476a390a690
154049593620
hex23fcb633e6

154563654630 has 128 divisors (see below), whose sum is σ = 462696385536. Its totient is φ = 32102553600.

The previous prime is 154563654607. The next prime is 154563654649. The reversal of 154563654630 is 36456365451.

154563654630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 154563654630.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5513850 + ... + 5541810.

It is an arithmetic number, because the mean of its divisors is an integer number (3614815512).

Almost surely, 2154563654630 is an apocalyptic number.

154563654630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 154563654630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231348192768).

154563654630 is an abundant number, since it is smaller than the sum of its proper divisors (308132730906).

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

154563654630 is a wasteful number, since it uses less digits than its factorization.

154563654630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30382.

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 154563654630 in words is "one hundred fifty-four billion, five hundred sixty-three million, six hundred fifty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 2393 4786 7179 11965 14358 16751 23930 26323 27961 33502 35895 50253 52646 55922 71790 78969 83755 83883 100506 131615 139805 157938 167510 167766 184261 195727 251265 263230 279610 307571 368522 391454 394845 419415 502530 552783 587181 615142 789690 838830 921305 922713 978635 1105566 1174362 1537855 1842610 1845426 1957270 2152997 2763915 2935905 3075710 4305994 4613565 5527830 5871810 6458991 9227130 10764985 12917982 21529970 32294955 64589910 66910673 133821346 200732019 334553365 401464038 468374711 669106730 736017403 936749422 1003660095 1405124133 1472034806 2007320190 2208052209 2341873555 2810248266 3680087015 4416104418 4683747110 5152121821 7025620665 7360174030 10304243642 11040261045 14051241330 15456365463 22080522090 25760609105 30912730926 51521218210 77281827315 154563654630