Search a number
-
+
30829550592 = 21031731137139
BaseRepresentation
bin11100101101100101…
…011001110000000000
32221120120020102212010
4130231211121300000
51001114331104332
622055104132520
72140661566461
oct345545316000
987516212763
1030829550592
1112090528735
125b84907140
132ba41c3539
1416c66a6d68
15c0688b9cc
hex72d959c00

30829550592 has 352 divisors, whose sum is σ = 91118684160. Its totient is φ = 9224847360.

The previous prime is 30829550581. The next prime is 30829550593. The reversal of 30829550592 is 29505592803.

It is a super-2 number, since 2×308295505922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30829550593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221795259 + ... + 221795397.

Almost surely, 230829550592 is an apocalyptic number.

30829550592 is a gapful number since it is divisible by the number (32) 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 30829550592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45559342080).

30829550592 is an abundant number, since it is smaller than the sum of its proper divisors (60289133568).

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

30829550592 is a wasteful number, since it uses less digits than its factorization.

30829550592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 30829550592 in words is "thirty billion, eight hundred twenty-nine million, five hundred fifty thousand, five hundred ninety-two".