Search a number
-
+
99058386240 = 263651138603
BaseRepresentation
bin101110001000001010…
…1110000010101000000
3100110200112211102000000
41130100111300111000
53110332421324430
6113301245000000
710104521250612
oct1342025602500
9313615742000
1099058386240
1139012970810
1217246553000
139458705b38
144b19d90db2
15289b73ce60
hex1710570540

99058386240 has 392 divisors, whose sum is σ = 385823508768. Its totient is φ = 24013532160.

The previous prime is 99058386173. The next prime is 99058386281. The reversal of 99058386240 is 4268385099.

99058386240 is a `hidden beast` number, since 9 + 9 + 0 + 5 + 8 + 3 + 8 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2546779 + ... + 2585381.

Almost surely, 299058386240 is an apocalyptic number.

99058386240 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 99058386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192911754384).

99058386240 is an abundant number, since it is smaller than the sum of its proper divisors (286765122528).

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

99058386240 is a wasteful number, since it uses less digits than its factorization.

99058386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38649 (or 38624 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 99058386240 in words is "ninety-nine billion, fifty-eight million, three hundred eighty-six thousand, two hundred forty".