Search a number
-
+
30533114880 = 2103251096079
BaseRepresentation
bin11100011011111010…
…100101110000000000
32220210220102221111200
4130123322211300000
51000012434134010
622005434341200
72130432123432
oct343372456000
986726387450
1030533114880
1111a49169144
125b0158a800
132b57972ba8
141699180652
15bda833cc0
hex71bea5c00

30533114880 has 264 divisors, whose sum is σ = 106784620800. Its totient is φ = 8066138112.

The previous prime is 30533114873. The next prime is 30533114891. The reversal of 30533114880 is 8841133503.

30533114880 is a `hidden beast` number, since 3 + 0 + 533 + 1 + 1 + 48 + 80 = 666.

It is a super-2 number, since 2×305331148802 (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 23 ways as a sum of consecutive naturals, for example, 5019681 + ... + 5025759.

It is an arithmetic number, because the mean of its divisors is an integer number (404487200).

Almost surely, 230533114880 is an apocalyptic number.

30533114880 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 30533114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53392310400).

30533114880 is an abundant number, since it is smaller than the sum of its proper divisors (76251505920).

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

30533114880 is a wasteful number, since it uses less digits than its factorization.

30533114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 30533114880 in words is "thirty billion, five hundred thirty-three million, one hundred fourteen thousand, eight hundred eighty".