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99242357760 = 210335741323
BaseRepresentation
bin101110001101101001…
…1100011010000000000
3100111011101000010111000
41130123103203100000
53111222020422020
6113331420052000
710112214060000
oct1343323432000
9314141003430
1099242357760
11390a77a6297
1217298094000
13948786a620
144b365a0000
1528ac97d090
hex171b4e3400

99242357760 has 1760 divisors, whose sum is σ = 462361294080. Its totient is φ = 20028653568.

The previous prime is 99242357741. The next prime is 99242357779. The reversal of 99242357760 is 6775324299.

99242357760 is a `hidden beast` number, since 9 + 9 + 2 + 4 + 2 + 3 + 577 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (99242357741) and next prime (99242357779).

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

It is a junction number, because it is equal to n+sod(n) for n = 99242357697 and 99242357706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4314885109 + ... + 4314885131.

Almost surely, 299242357760 is an apocalyptic number.

99242357760 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 99242357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231180647040).

99242357760 is an abundant number, since it is smaller than the sum of its proper divisors (363118936320).

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

99242357760 is a wasteful number, since it uses less digits than its factorization.

99242357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 99242357760 in words is "ninety-nine billion, two hundred forty-two million, three hundred fifty-seven thousand, seven hundred sixty".