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99963666 = 23311215299
BaseRepresentation
bin1011111010101…
…01001100010010
320222002200101000
411331111030102
5201042314131
613530322430
72322451155
oct575251422
9228080330
1099963666
1151477200
1229589416
13179300ca
14d3c1c9c
158b98ce6
hex5f55312

99963666 has 48 divisors (see below), whose sum is σ = 244188000. Its totient is φ = 30290040.

The previous prime is 99963659. The next prime is 99963673. The reversal of 99963666 is 66636999.

It is an interprime number because it is at equal distance from previous prime (99963659) and next prime (99963673).

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

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1116 + ... + 14183.

It is an arithmetic number, because the mean of its divisors is an integer number (5087250).

Almost surely, 299963666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99963666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122094000).

99963666 is an abundant number, since it is smaller than the sum of its proper divisors (144224334).

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

99963666 is a wasteful number, since it uses less digits than its factorization.

99963666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15332 (or 15315 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The square root of 99963666 is about 9998.1831349501. The cubic root of 99963666 is about 464.1026607219.

The spelling of 99963666 in words is "ninety-nine million, nine hundred sixty-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 15299 30598 45897 91794 137691 168289 275382 336578 413073 504867 826146 1009734 1514601 1851179 3029202 3702358 4543803 5553537 9087606 11107074 16660611 33321222 49981833 99963666