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2107764235104 = 253111995988859
BaseRepresentation
bin11110101011000000100…
…010011101101101100000
321110111111201021012110220
4132223000202131231200
5234013200121010404
64252143222323040
7305165235250353
oct36530042355540
97414451235426
102107764235104
11742996a63710
122a05b9b89480
131239b87b9968
1474032b6629a
1539c63b914d9
hex1eac089db60

2107764235104 has 48 divisors (see below), whose sum is σ = 6035870312640. Its totient is φ = 638716434560.

The previous prime is 2107764235061. The next prime is 2107764235139. The reversal of 2107764235104 is 4015324677012.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 997993374 + ... + 997995485.

It is an arithmetic number, because the mean of its divisors is an integer number (125747298180).

Almost surely, 22107764235104 is an apocalyptic number.

2107764235104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2107764235104 is an abundant number, since it is smaller than the sum of its proper divisors (3928106077536).

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

2107764235104 is a wasteful number, since it uses less digits than its factorization.

2107764235104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995988883 (or 1995988875 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 2107764235104 in words is "two trillion, one hundred seven billion, seven hundred sixty-four million, two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1995988859 3991977718 5987966577 7983955436 11975933154 15967910872 21955877449 23951866308 31935821744 43911754898 47903732616 63871643488 65867632347 87823509796 95807465232 131735264694 175647019592 191614930464 263470529388 351294039184 526941058776 702588078368 1053882117552 2107764235104