Search a number
-
+
30800055096 = 23324161171043
BaseRepresentation
bin11100101011110100…
…111000101100111000
32221111111201220122100
4130223310320230320
51001034303230341
622052132023400
72140153101666
oct345364705470
987444656570
1030800055096
1112075912298
125b76a61b60
132b9b067095
1416c27c9c36
15c03eb23b6
hex72bd38b38

30800055096 has 96 divisors (see below), whose sum is σ = 86852722320. Its totient is φ = 9852019200.

The previous prime is 30800055079. The next prime is 30800055119. The reversal of 30800055096 is 69055000803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30800055096.

It is a congruent number.

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, 94551 + ... + 265593.

Almost surely, 230800055096 is an apocalyptic number.

30800055096 is a gapful number since it is divisible by the number (36) 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 30800055096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43426361160).

30800055096 is an abundant number, since it is smaller than the sum of its proper divisors (56052667224).

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

30800055096 is a wasteful number, since it uses less digits than its factorization.

30800055096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171157 (or 171150 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 30800055096 its reverse (69055000803), we get a palindrome (99855055899).

The spelling of 30800055096 in words is "thirty billion, eight hundred million, fifty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 61 72 82 122 123 164 183 244 246 328 366 369 488 492 549 732 738 984 1098 1464 1476 2196 2501 2952 4392 5002 7503 10004 15006 20008 22509 30012 45018 60024 90036 171043 180072 342086 513129 684172 1026258 1368344 1539387 2052516 3078774 4105032 6157548 7012763 10433623 12315096 14025526 20867246 21038289 28051052 31300869 41734492 42076578 56102104 62601738 63114867 83468984 84153156 93902607 125203476 126229734 168306312 187805214 250406952 252459468 375610428 427778543 504918936 751220856 855557086 1283335629 1711114172 2566671258 3422228344 3850006887 5133342516 7700013774 10266685032 15400027548 30800055096