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99093070440 = 233457313193
BaseRepresentation
bin101110001001001101…
…0000100001001101000
3100110202222002112210000
41130102122010021220
53110420311223230
6113304524223000
710105422126000
oct1342232041150
9313688075700
1099093070440
1139030500541
121725609aa60
13946295ac30
144b2081d000
15289e7deb60
hex1712684268

99093070440 has 1280 divisors, whose sum is σ = 441524160000. Its totient is φ = 19807151616.

The previous prime is 99093070423. The next prime is 99093070457. The reversal of 99093070440 is 4407039099.

It is an interprime number because it is at equal distance from previous prime (99093070423) and next prime (99093070457).

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 319 ways as a sum of consecutive naturals, for example, 5215424751 + ... + 5215424769.

It is an arithmetic number, because the mean of its divisors is an integer number (344940750).

Almost surely, 299093070440 is an apocalyptic number.

99093070440 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 99093070440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220762080000).

99093070440 is an abundant number, since it is smaller than the sum of its proper divisors (342431089560).

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

99093070440 is a wasteful number, since it uses less digits than its factorization.

99093070440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 99093070440 in words is "ninety-nine billion, ninety-three million, seventy thousand, four hundred forty".