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30960000000 = 210325743
BaseRepresentation
bin11100110101010111…
…000001110000000000
32221220122200221210200
4130311113001300000
51001401230000000
622120044125200
72144134441446
oct346527016000
987818627720
1030960000000
1112148127266
126000536800
132bc5238737
1416d9b42b96
15c13058500
hex7355c1c00

30960000000 has 528 divisors, whose sum is σ = 114343847904. Its totient is φ = 8064000000.

The previous prime is 30959999989. The next prime is 30960000037. The reversal of 30960000000 is 6903.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 719999979 + ... + 720000021.

It is an arithmetic number, because the mean of its divisors is an integer number (216560318).

Almost surely, 230960000000 is an apocalyptic number.

30960000000 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 30960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57171923952).

30960000000 is an abundant number, since it is smaller than the sum of its proper divisors (83383847904).

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

30960000000 is an frugal number, since it uses more digits than its factorization.

30960000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 30960000000 its reverse (6903), we get a palindrome (30960006903).

The spelling of 30960000000 in words is "thirty billion, nine hundred sixty million", and thus it is an aban number.