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1082464768672 = 2572690347429
BaseRepresentation
bin11111100000001111110…
…11011001001010100000
310211111000211102201110121
433300013323121022200
5120213341440044142
62145135532410024
7141130325502100
oct17600773311240
93744024381417
101082464768672
11388086162181
12155957316914
137b0cac45951
143a56a6a1200
151d256301c67
hexfc07ed92a0

1082464768672 has 36 divisors (see below), whose sum is σ = 2479037621130. Its totient is φ = 463913471616.

The previous prime is 1082464768663. The next prime is 1082464768717. The reversal of 1082464768672 is 2768674642801.

1082464768672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1031191506576 + 51273262096 = 1015476^2 + 226436^2 .

It is a super-2 number, since 2×10824647686722 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1082464768672.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 345172147 + ... + 345175282.

Almost surely, 21082464768672 is an apocalyptic number.

It is an amenable number.

1082464768672 is an abundant number, since it is smaller than the sum of its proper divisors (1396572852458).

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

1082464768672 is an equidigital number, since it uses as much as digits as its factorization.

1082464768672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690347453 (or 690347438 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 61.

The spelling of 1082464768672 in words is "one trillion, eighty-two billion, four hundred sixty-four million, seven hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 690347429 1380694858 2761389716 4832432003 5522779432 9664864006 11045558864 19329728012 22091117728 33827024021 38659456024 67654048042 77318912048 135308096084 154637824096 270616192168 541232384336 1082464768672