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9976628712 = 2334731128439
BaseRepresentation
bin10010100101010011…
…10100010111101000
3221202021210020202010
421102221310113220
5130413004104322
64325545435520
7502141642041
oct112251642750
927667706663
109976628712
11425a6018a6
121b2519bba0
13c2cbc66cb
146a8ddb8c8
153d5ce320c
hex252a745e8

9976628712 has 64 divisors (see below), whose sum is σ = 25555046400. Its totient is φ = 3244207040.

The previous prime is 9976628689. The next prime is 9976628713. The reversal of 9976628712 is 2178266799.

It is not an unprimeable number, because it can be changed into a prime (9976628713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336589 + ... + 365027.

It is an arithmetic number, because the mean of its divisors is an integer number (399297600).

Almost surely, 29976628712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9976628712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777523200).

9976628712 is an abundant number, since it is smaller than the sum of its proper divisors (15578417688).

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

9976628712 is a wasteful number, since it uses less digits than its factorization.

9976628712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28806 (or 28802 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 57.

The square root of 9976628712 is about 99883.0752029592. The cubic root of 9976628712 is about 2152.7549836675.

The spelling of 9976628712 in words is "nine billion, nine hundred seventy-six million, six hundred twenty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 311 376 564 622 933 1128 1244 1866 2488 3732 7464 14617 28439 29234 43851 56878 58468 85317 87702 113756 116936 170634 175404 227512 341268 350808 682536 1336633 2673266 4009899 5346532 8019798 8844529 10693064 16039596 17689058 26533587 32079192 35378116 53067174 70756232 106134348 212268696 415692863 831385726 1247078589 1662771452 2494157178 3325542904 4988314356 9976628712