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99992242440 = 23325292477027
BaseRepresentation
bin101110100100000000…
…0001000100100001000
3100120002122001012212200
41131020000020210020
53114241003224230
6113534044440200
710136621015466
oct1351000104410
9316078035780
1099992242440
11394520177a2
1217467249060
13957702477c
144ba8001836
152903706160
hex1748008908

99992242440 has 288 divisors, whose sum is σ = 343777150080. Its totient is φ = 25193774592.

The previous prime is 99992242351. The next prime is 99992242451. The reversal of 99992242440 is 4424229999.

99992242440 is a `hidden beast` number, since 9 + 99 + 92 + 2 + 424 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14226207 + ... + 14233233.

It is an arithmetic number, because the mean of its divisors is an integer number (1193670660).

Almost surely, 299992242440 is an apocalyptic number.

99992242440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 316215×316216.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99992242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171888575040).

99992242440 is an abundant number, since it is smaller than the sum of its proper divisors (243784907640).

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

99992242440 is a wasteful number, since it uses less digits than its factorization.

99992242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 99992242440 in words is "ninety-nine billion, nine hundred ninety-two million, two hundred forty-two thousand, four hundred forty".