Search a number
-
+
15055988868 = 22321743599697
BaseRepresentation
bin11100000010110100…
…00010100010000100
31102212021111110222100
432001122002202010
5221313313120433
610525554032100
71042046536164
oct160132024204
942767443870
1015055988868
116426793308
122b02278630
13155c32036b
14a2b83a5a4
155d1bc3b13
hex381682884

15055988868 has 144 divisors (see below), whose sum is σ = 41937255360. Its totient is φ = 4534935552.

The previous prime is 15055988867. The next prime is 15055988869. The reversal of 15055988868 is 86888955051.

15055988868 is a `hidden beast` number, since 15 + 0 + 559 + 8 + 8 + 8 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (15055988867) and next prime (15055988869).

It is not an unprimeable number, because it can be changed into a prime (15055988867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1547796 + ... + 1557492.

It is an arithmetic number, because the mean of its divisors is an integer number (291230940).

Almost surely, 215055988868 is an apocalyptic number.

15055988868 is a gapful number since it is divisible by the number (18) 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 15055988868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20968627680).

15055988868 is an abundant number, since it is smaller than the sum of its proper divisors (26881266492).

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

15055988868 is a wasteful number, since it uses less digits than its factorization.

15055988868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 63.

The spelling of 15055988868 in words is "fifteen billion, fifty-five million, nine hundred eighty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 59 68 86 102 118 129 153 172 177 204 236 258 306 354 387 516 531 612 708 731 774 1003 1062 1462 1548 2006 2124 2193 2537 2924 3009 4012 4386 5074 6018 6579 7611 8772 9027 9697 10148 12036 13158 15222 18054 19394 22833 26316 29091 30444 36108 38788 43129 45666 58182 86258 87273 91332 116364 129387 164849 172516 174546 258774 329698 349092 388161 416971 494547 517548 572123 659396 776322 833942 989094 1144246 1250913 1483641 1552644 1667884 1716369 1978188 2288492 2501826 2967282 3432738 3752739 5003652 5149107 5934564 6865476 7088507 7505478 9726091 10298214 14177014 15010956 19452182 20596428 21265521 24601289 28354028 29178273 38904364 42531042 49202578 58356546 63796563 73803867 85062084 87534819 98405156 116713092 127593126 147607734 175069638 221411601 255186252 295215468 350139276 418221913 442823202 836443826 885646404 1254665739 1672887652 2509331478 3763997217 5018662956 7527994434 15055988868