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10983130816 = 26728578581
BaseRepresentation
bin10100011101010010…
…10100011011000000
31001100102200212001211
422032221110123000
5134443140141231
65013502335504
7536113033360
oct121651243300
931312625054
1010983130816
114726766819
12216628a594
13106059c298
1476295c9a0
1544435aeb1
hex28ea546c0

10983130816 has 56 divisors (see below), whose sum is σ = 24919793696. Its totient is φ = 4704860160.

The previous prime is 10983130811. The next prime is 10983130817. The reversal of 10983130816 is 61803138901.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (10983130811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1275646 + ... + 1284226.

It is an arithmetic number, because the mean of its divisors is an integer number (444996316).

Almost surely, 210983130816 is an apocalyptic number.

10983130816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10983130816 is an abundant number, since it is smaller than the sum of its proper divisors (13936662880).

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

10983130816 is an equidigital number, since it uses as much as digits as its factorization.

10983130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11457 (or 11447 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 10983130816 in words is "ten billion, nine hundred eighty-three million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2857 5714 8581 11428 17162 19999 22856 34324 39998 45712 60067 68648 79996 91424 120134 137296 159992 182848 240268 274592 319984 480536 549184 639968 961072 1279936 1922144 3844288 24515917 49031834 98063668 171611419 196127336 343222838 392254672 686445676 784509344 1372891352 1569018688 2745782704 5491565408 10983130816