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99830247660 = 2233511134912633
BaseRepresentation
bin101110011111001011…
…0001011000011101100
3100112200100020000211000
41130332112023003230
53113423020411120
6113510020400300
710132613050503
oct1347626130354
9315610200730
1099830247660
1139379632710
1217420b46090
13954c5b6080
144b906b383a
1528e43a7990
hex173e58b0ec

99830247660 has 384 divisors, whose sum is σ = 365762718720. Its totient is φ = 22285670400.

The previous prime is 99830247623. The next prime is 99830247679. The reversal of 99830247660 is 6674203899.

It is a happy number.

99830247660 is a `hidden beast` number, since 99 + 83 + 0 + 2 + 476 + 6 + 0 = 666.

It is a super-3 number, since 3×998302476603 (a number of 34 digits) contains 333 as substring.

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 = 99830247597 and 99830247606.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37913704 + ... + 37916336.

It is an arithmetic number, because the mean of its divisors is an integer number (952507080).

Almost surely, 299830247660 is an apocalyptic number.

99830247660 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99830247660 is the 157980-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99830247660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182881359360).

99830247660 is an abundant number, since it is smaller than the sum of its proper divisors (265932471060).

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

99830247660 is a wasteful number, since it uses less digits than its factorization.

99830247660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 99830247660 in words is "ninety-nine billion, eight hundred thirty million, two hundred forty-seven thousand, six hundred sixty".