Search a number
-
+
30293527152 = 2437253733329
BaseRepresentation
bin11100001101101000…
…101000101001110000
32220012012121121221010
4130031220220221300
5444020120332102
621525555230520
72121462506100
oct341550505160
986165547833
1030293527152
11119359a7359
125a552a8440
132b1a1378c5
141675415200
15bc47a9d6c
hex70da28a70

30293527152 has 240 divisors, whose sum is σ = 94051614240. Its totient is φ = 8373141504.

The previous prime is 30293527141. The next prime is 30293527163. The reversal of 30293527152 is 25172539203.

It is an interprime number because it is at equal distance from previous prime (30293527141) and next prime (30293527163).

It is a super-2 number, since 2×302935271522 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30293527152.

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, 9098224 + ... + 9101552.

It is an arithmetic number, because the mean of its divisors is an integer number (391881726).

Almost surely, 230293527152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30293527152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47025807120).

30293527152 is an abundant number, since it is smaller than the sum of its proper divisors (63758087088).

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

30293527152 is a wasteful number, since it uses less digits than its factorization.

30293527152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 30293527152 in words is "thirty billion, two hundred ninety-three million, five hundred twenty-seven thousand, one hundred fifty-two".