Search a number
-
+
30067010688 = 27311132979239
BaseRepresentation
bin11100000000001000…
…100010110010000000
32212121102101101202110
4130000020202302000
5443034123320223
621451304215320
72113042242201
oct340010426200
985542341673
1030067010688
111182a053170
1259b146a540
132ab22280b0
1416532cd5a8
15bae963d93
hex700222c80

30067010688 has 512 divisors, whose sum is σ = 98703360000. Its totient is φ = 7984005120.

The previous prime is 30067010683. The next prime is 30067010711. The reversal of 30067010688 is 88601076003.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (30067010683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125803273 + ... + 125803511.

It is an arithmetic number, because the mean of its divisors is an integer number (192780000).

Almost surely, 230067010688 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 30067010688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680000).

30067010688 is an abundant number, since it is smaller than the sum of its proper divisors (68636349312).

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

30067010688 is a wasteful number, since it uses less digits than its factorization.

30067010688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 30067010688 in words is "thirty billion, sixty-seven million, ten thousand, six hundred eighty-eight".