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99966996 = 22326614201
BaseRepresentation
bin1011111010101…
…10000000010100
320222002211221100
411331112000110
5201042420441
613530350100
72322463653
oct575260024
9228084840
1099966996
1151479758
122958b330
131793178c
14d3c319a
158b99cb6
hex5f56014

99966996 has 36 divisors (see below), whose sum is σ = 253136884. Its totient is φ = 33264000.

The previous prime is 99966991. The next prime is 99967001. The reversal of 99966996 is 69966999.

It is an interprime number because it is at equal distance from previous prime (99966991) and next prime (99967001).

It can be written as a sum of positive squares in 2 ways, for example, as 38564100 + 61402896 = 6210^2 + 7836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99966991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21696 + ... + 25896.

Almost surely, 299966996 is an apocalyptic number.

It is an amenable number.

99966996 is an abundant number, since it is smaller than the sum of its proper divisors (153169888).

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

99966996 is a wasteful number, since it uses less digits than its factorization.

99966996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4867 counting only the distinct ones).

The product of its digits is 12754584, while the sum is 63.

The square root of 99966996 is about 9998.3496638195. The cubic root of 99966996 is about 464.1078140766.

The spelling of 99966996 in words is "ninety-nine million, nine hundred sixty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 661 1322 1983 2644 3966 4201 5949 7932 8402 11898 12603 16804 23796 25206 37809 50412 75618 151236 2776861 5553722 8330583 11107444 16661166 24991749 33322332 49983498 99966996