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99802116 = 22322772281
BaseRepresentation
bin1011111001011…
…01110000000100
320221210110202200
411330231300010
5201022131431
613523034500
72321206161
oct574556004
9227713680
1099802116
1151376897
122950ba30
13178a470b
14d37d068
158b65ee6
hex5f2dc04

99802116 has 18 divisors (see below), whose sum is σ = 252277662. Its totient is φ = 33267360.

The previous prime is 99802111. The next prime is 99802147. The reversal of 99802116 is 61120899.

It can be written as a sum of positive squares in only one way, i.e., 79281216 + 20520900 = 8904^2 + 4530^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2772281 = 99802116 / (9 + 9 + 8 + 0 + 2 + 1 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (99802111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1386105 + ... + 1386176.

Almost surely, 299802116 is an apocalyptic number.

It is an amenable number.

99802116 is an abundant number, since it is smaller than the sum of its proper divisors (152475546).

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

99802116 is a wasteful number, since it uses less digits than its factorization.

99802116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772291 (or 2772286 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 99802116 is about 9990.1009003913. The cubic root of 99802116 is about 463.8525157999.

The spelling of 99802116 in words is "ninety-nine million, eight hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2772281 5544562 8316843 11089124 16633686 24950529 33267372 49901058 99802116