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9977412768 = 253208149943
BaseRepresentation
bin10010100101011001…
…10011110010100000
3221202100021002021020
421102230303302200
5130413204202033
64330014325440
7502151415651
oct112254636240
927670232236
109977412768
11425aa97984
121b254b9880
13c3010c54b
146a9163528
153d5dea6b3
hex252b33ca0

9977412768 has 48 divisors (see below), whose sum is σ = 26203818816. Its totient is φ = 3324139520.

The previous prime is 9977412749. The next prime is 9977412817. The reversal of 9977412768 is 8672147799.

It is a Cunningham number, because it is equal to 998872-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174805 + ... + 224747.

It is an arithmetic number, because the mean of its divisors is an integer number (545912892).

Almost surely, 29977412768 is an apocalyptic number.

It is an amenable number.

9977412768 is an abundant number, since it is smaller than the sum of its proper divisors (16226406048).

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

9977412768 is a wasteful number, since it uses less digits than its factorization.

9977412768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52037 (or 52029 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 60.

The square root of 9977412768 is about 99886.9999949943. Note that the first 5 decimals coincide. The cubic root of 9977412768 is about 2152.8113766735.

The spelling of 9977412768 in words is "nine billion, nine hundred seventy-seven million, four hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2081 4162 6243 8324 12486 16648 24972 33296 49943 49944 66592 99886 99888 149829 199772 199776 299658 399544 599316 799088 1198632 1598176 2397264 4794528 103931383 207862766 311794149 415725532 623588298 831451064 1247176596 1662902128 2494353192 3325804256 4988706384 9977412768