Search a number
-
+
30188127060 = 223357131736137
BaseRepresentation
bin11100000111010110…
…100100001101010100
32212220212021202012000
4130013112210031110
5443311130031220
621511312155300
72116042563150
oct340726441524
985825252160
1030188127060
1111891457743
125a25b38b30
132b013531a0
14166541a060
15bba3da390
hex7075a4354

30188127060 has 384 divisors, whose sum is σ = 122395069440. Its totient is φ = 5994528768.

The previous prime is 30188127037. The next prime is 30188127083. The reversal of 30188127060 is 6072188103.

30188127060 is a `hidden beast` number, since 301 + 8 + 81 + 270 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30188127037) and next prime (30188127083).

It is a super-2 number, since 2×301881270602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 817312 + ... + 853448.

It is an arithmetic number, because the mean of its divisors is an integer number (318737160).

Almost surely, 230188127060 is an apocalyptic number.

30188127060 is a gapful number since it is divisible by the number (30) 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 30188127060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61197534720).

30188127060 is an abundant number, since it is smaller than the sum of its proper divisors (92206942380).

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

30188127060 is a wasteful number, since it uses less digits than its factorization.

30188127060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36192 (or 36184 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 30188127060 in words is "thirty billion, one hundred eighty-eight million, one hundred twenty-seven thousand, sixty".