Search a number
-
+
30266187840 = 263457315381
BaseRepresentation
bin11100001100000000…
…010110000001000000
32220010022011122110000
4130030000112001000
5443441121002330
621523141240000
72121011231460
oct341400260100
986108148400
1030266187840
1111921523989
125a48103000
132b145849b5
141671939ba0
15bc21a9560
hex70c016040

30266187840 has 560 divisors, whose sum is σ = 127035177984. Its totient is φ = 6693580800.

The previous prime is 30266187799. The next prime is 30266187841. The reversal of 30266187840 is 4878166203.

30266187840 is a `hidden beast` number, since 3 + 0 + 26 + 618 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30266187841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5621950 + ... + 5627330.

Almost surely, 230266187840 is an apocalyptic number.

30266187840 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 30266187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63517588992).

30266187840 is an abundant number, since it is smaller than the sum of its proper divisors (96768990144).

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

30266187840 is a wasteful number, since it uses less digits than its factorization.

30266187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 30266187840 in words is "thirty billion, two hundred sixty-six million, one hundred eighty-seven thousand, eight hundred forty".