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990077409167 = 71123761310801
BaseRepresentation
bin11100110100001010011…
…01100101011110001111
310111122120012022120202212
432122011031211132033
5112210134304043132
62034500230541035
7131350020056540
oct16320515453617
93448505276685
10990077409167
11351986982600
1213ba72b0777b
1372496642412
1435cc46b44c7
151ab4a5995b2
hexe68536578f

990077409167 has 24 divisors (see below), whose sum is σ = 1244068299936. Its totient is φ = 771281280000.

The previous prime is 990077409163. The next prime is 990077409179. The reversal of 990077409167 is 761904770099.

It is not a de Polignac number, because 990077409167 - 22 = 990077409163 is a prime.

It is a super-2 number, since 2×9900774091672 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990077409163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3030167 + ... + 3340967.

It is an arithmetic number, because the mean of its divisors is an integer number (51836179164).

Almost surely, 2990077409167 is an apocalyptic number.

990077409167 is a deficient number, since it is larger than the sum of its proper divisors (253990890769).

990077409167 is a wasteful number, since it uses less digits than its factorization.

990077409167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314591 (or 314580 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 59.

The spelling of 990077409167 in words is "nine hundred ninety billion, seventy-seven million, four hundred nine thousand, one hundred sixty-seven".

Divisors: 1 7 11 77 121 847 3761 26327 41371 289597 310801 455081 2175607 3185567 3418811 23931677 37606921 263248447 1168922561 8182457927 12858148171 90007037197 141439629881 990077409167