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99926906040 = 233351367710513
BaseRepresentation
bin101110100010000011…
…0111001010010111000
3100112221002002210012000
41131010012321102320
53114122241443130
6113523352221000
710135165454403
oct1350406712270
9315832083160
1099926906040
1139419151575
121744939a760
139566629890
144b9d474d3a
1528ecaec260
hex17441b94b8

99926906040 has 256 divisors, whose sum is σ = 359275996800. Its totient is φ = 24558723072.

The previous prime is 99926905973. The next prime is 99926906099. The reversal of 99926906040 is 4060962999.

99926906040 is a `hidden beast` number, since 9 + 9 + 9 + 26 + 9 + 0 + 604 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9499824 + ... + 9510336.

Almost surely, 299926906040 is an apocalyptic number.

99926906040 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 99926906040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179637998400).

99926906040 is an abundant number, since it is smaller than the sum of its proper divisors (259349090760).

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

99926906040 is a wasteful number, since it uses less digits than its factorization.

99926906040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 99926906040 in words is "ninety-nine billion, nine hundred twenty-six million, nine hundred six thousand, forty".