Search a number
-
+
30058421976 = 233311236171127
BaseRepresentation
bin11011111111100111…
…110001111011011000
32212120211020001021000
4123333213301323120
5443024424000401
621450400145000
72112606241212
oct337747617330
985524201230
1030058421976
1111825217360
1259aa608160
132ab050ba0b
1416520d55b2
15badd19186
hex6ff9f1ed8

30058421976 has 512 divisors, whose sum is σ = 98736537600. Its totient is φ = 8382528000.

The previous prime is 30058421959. The next prime is 30058422013. The reversal of 30058421976 is 67912485003.

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, 236680425 + ... + 236680551.

It is an arithmetic number, because the mean of its divisors is an integer number (192844800).

It is a 1-persistent number, because it is pandigital, but 2⋅30058421976 = 60116843952 is not.

Almost surely, 230058421976 is an apocalyptic number.

30058421976 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 30058421976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49368268800).

30058421976 is an abundant number, since it is smaller than the sum of its proper divisors (68678115624).

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

30058421976 is a wasteful number, since it uses less digits than its factorization.

30058421976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 30058421976 in words is "thirty billion, fifty-eight million, four hundred twenty-one thousand, nine hundred seventy-six".