Search a number
-
+
90900000000908 = 22729672687621821
BaseRepresentation
bin10100101010110001001110…
…001101011100101110001100
3102220211221210021212101221022
4110222301032031130232030
543403301200000012113
6521154514501053312
725101210511331060
oct2452611615345614
9386757707771838
1090900000000908
1126a665232736aa
12a2410420b7238
133b94aaa777077
1418638250a9aa0
15a797b6da8908
hex52ac4e35cb8c

90900000000908 has 96 divisors (see below), whose sum is σ = 190947308912640. Its totient is φ = 37038544139520.

The previous prime is 90900000000893. The next prime is 90900000000919. The reversal of 90900000000908 is 80900000000909.

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 31 ways as a sum of consecutive naturals, for example, 145872638 + ... + 146494458.

It is an arithmetic number, because the mean of its divisors is an integer number (1989034467840).

Almost surely, 290900000000908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90900000000908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95473654456320).

90900000000908 is an abundant number, since it is smaller than the sum of its proper divisors (100047308911732).

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

90900000000908 is a wasteful number, since it uses less digits than its factorization.

90900000000908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624615 (or 624613 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

Subtracting from 90900000000908 its reverse (80900000000909), we obtain a palindrome (9999999999999).

The spelling of 90900000000908 in words is "ninety trillion, nine hundred billion, nine hundred eight", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 29 58 67 116 134 203 268 406 469 812 938 1876 1943 2687 3886 5374 7772 10748 13601 18809 27202 37618 54404 75236 77923 155846 180029 311692 360058 545461 621821 720116 1090922 1243642 1260203 2181844 2487284 2520406 4352747 5040812 5220841 8705494 10441682 17410988 18032809 20883364 36065618 36545887 41662007 72131236 73091774 83324014 126229663 146183548 166648028 252459326 291634049 504918652 583268098 1166536196 1208198203 1670833027 2416396406 3341666054 4832792812 6683332108 8457387421 11695831189 16914774842 23391662378 33829549684 46783324756 48454157783 96908315566 111945812809 193816631132 223891625618 339179104481 447783251236 678358208962 783620689663 1356716417924 1567241379326 3134482758652 3246428571461 6492857142922 12985714285844 22725000000227 45450000000454 90900000000908