Search a number
-
+
33030000000 = 273257367
BaseRepresentation
bin11110110000101111…
…011100110110000000
310011020220202211222100
4132300233130312000
51020121140000000
623101311310400
72246341240044
oct366057346600
9104226684870
1033030000000
111300a634968
12649981b400
1331650515ca
141854a20024
15cd4b46a00
hex7b0bdcd80

33030000000 has 384 divisors, whose sum is σ = 119132507520. Its totient is φ = 8784000000.

The previous prime is 33029999999. The next prime is 33030000013. The reversal of 33030000000 is 3033.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89999817 + ... + 90000183.

It is an arithmetic number, because the mean of its divisors is an integer number (310240905).

Almost surely, 233030000000 is an apocalyptic number.

33030000000 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 33030000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59566253760).

33030000000 is an abundant number, since it is smaller than the sum of its proper divisors (86102507520).

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

33030000000 is an frugal number, since it uses more digits than its factorization.

33030000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

Adding to 33030000000 its reverse (3033), we get a palindrome (33030003033).

The spelling of 33030000000 in words is "thirty-three billion, thirty million", and thus it is an aban number and an uban number.