Search a number
-
+
30569990976 = 2637741761
BaseRepresentation
bin11100011110000111…
…010000101101000000
32220220110211110000000
4130132013100231000
51000101404202401
622013233000000
72131360431060
oct343607205500
986813743000
1030569990976
1111a67a65758
125b119b3000
132b624b4875
1416a001d3a0
15bddbba186
hex71e1d0b40

30569990976 has 448 divisors, whose sum is σ = 106652689920. Its totient is φ = 8510054400.

The previous prime is 30569990923. The next prime is 30569991013. The reversal of 30569990976 is 67909996503.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40170436 + ... + 40171196.

It is an arithmetic number, because the mean of its divisors is an integer number (238064040).

Almost surely, 230569990976 is an apocalyptic number.

30569990976 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 30569990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53326344960).

30569990976 is an abundant number, since it is smaller than the sum of its proper divisors (76082698944).

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

30569990976 is an frugal number, since it uses more digits than its factorization.

30569990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 24800580, while the sum is 63.

The spelling of 30569990976 in words is "thirty billion, five hundred sixty-nine million, nine hundred ninety thousand, nine hundred seventy-six".