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1915660402688 = 21738232
BaseRepresentation
bin11011111000000110010…
…000100000000000000000
320210010122200000101120202
4123320012100200000000
5222341233030341223
64024013042424332
7255254564520164
oct33700620400000
96703580011522
101915660402688
116794773a104a
1226b3269620a8
1310b8523578c6
1468a0b640ca4
1534c6da57428
hex1be06420000

1915660402688 has 54 divisors (see below), whose sum is σ = 3832308624879. Its totient is φ = 957579657216.

The previous prime is 1915660402673. The next prime is 1915660402727. The reversal of 1915660402688 is 8862040665191.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 957830201344 + 957830201344 = 978688^2 + 978688^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=978688.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 501086345 + ... + 501090167.

Almost surely, 21915660402688 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 1915660402688

1915660402688 is an abundant number, since it is smaller than the sum of its proper divisors (1916648222191).

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

1915660402688 is an frugal number, since it uses more digits than its factorization.

1915660402688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 56.

The spelling of 1915660402688 in words is "one trillion, nine hundred fifteen billion, six hundred sixty million, four hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3823 4096 7646 8192 15292 16384 30584 32768 61168 65536 122336 131072 244672 489344 978688 1957376 3914752 7829504 14615329 15659008 29230658 31318016 58461316 62636032 116922632 125272064 233845264 250544128 467690528 501088256 935381056 1870762112 3741524224 7483048448 14966096896 29932193792 59864387584 119728775168 239457550336 478915100672 957830201344 1915660402688