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1082163753441 = 32131226472
BaseRepresentation
bin11111011111101011111…
…11000111000111100001
310211110020212000120012100
433233311333013013201
5120212232410102231
62145050020521013
7141120012063501
oct17576577070741
93743225016170
101082163753441
11387a41254a61
12155892550169
137b080780a24
143a53c705a01
151d239b921e6
hexfbf5fc71e1

1082163753441 has 27 divisors (see below), whose sum is σ = 1575744056913. Its totient is φ = 715664837160.

The previous prime is 1082163753439. The next prime is 1082163753457. The reversal of 1082163753441 is 1443573612801.

The square root of 1082163753441 is 1040271.

It is a perfect power (a square), and thus also a powerful number.

1082163753441 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 1 + 637 + 5 + 3 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 1082163753441 - 21 = 1082163753439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1082163753401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 408825180 + ... + 408827826.

Almost surely, 21082163753441 is an apocalyptic number.

1082163753441 is the 1040271-st square number.

1082163753441 is the 520136-th centered octagonal number.

It is an amenable number.

1082163753441 is a deficient number, since it is larger than the sum of its proper divisors (493580303472).

1082163753441 is an frugal number, since it uses more digits than its factorization.

1082163753441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1082163753441 in words is "one trillion, eighty-two billion, one hundred sixty-three million, seven hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 9 131 393 1179 2647 7941 17161 23823 51483 154449 346757 1040271 3120813 7006609 21019827 45425167 63059481 136275501 408826503 917865779 2753597337 8260792011 120240417049 360721251147 1082163753441