Search a number
-
+
9113014962900 = 2233521737672832
BaseRepresentation
bin1000010010011100101000…
…0001010000101011010100
31012021012021200101210022000
42010213022001100223110
52143301423312303100
631214243345235300
71630252002051102
oct204471201205324
935235250353260
109113014962900
1129a3898409512
1210321b6332b30
13511479bac8c4
14237102488c72
1510c0b5321900
hex849ca050ad4

9113014962900 has 864 divisors, whose sum is σ = 32448521911680. Its totient is φ = 2184411525120.

The previous prime is 9113014962881. The next prime is 9113014962913. The reversal of 9113014962900 is 92694103119.

9113014962900 is a `hidden beast` number, since 9 + 1 + 1 + 3 + 0 + 14 + 9 + 629 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32201466159 + ... + 32201466441.

It is an arithmetic number, because the mean of its divisors is an integer number (37556159620).

Almost surely, 29113014962900 is an apocalyptic number.

9113014962900 is a gapful number since it is divisible by the number (90) 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 9113014962900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224260955840).

9113014962900 is an abundant number, since it is smaller than the sum of its proper divisors (23335506948780).

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

9113014962900 is a wasteful number, since it uses less digits than its factorization.

9113014962900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 9113014962900 in words is "nine trillion, one hundred thirteen billion, fourteen million, nine hundred sixty-two thousand, nine hundred".