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1066246238464 = 2811258672
BaseRepresentation
bin11111000010000010011…
…10100111000100000000
310202221011112102000120121
433201001032213010000
5114432133014112324
62133454325150024
7140014401326341
oct17410116470400
93687145360517
101066246238464
11381213228400
1215278b85b314
1379714b18004
143986c6c60c8
151cb075415e4
hexf8413a7100

1066246238464 has 81 divisors (see below), whose sum is σ = 2339800056391. Its totient is φ = 484574773760.

The previous prime is 1066246238443. The next prime is 1066246238467. The reversal of 1066246238464 is 4648326426601.

The square root of 1066246238464 is 1032592.

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

It is a super-2 number, since 2×10662462384642 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1066246238467) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 181733259 + ... + 181739125.

Almost surely, 21066246238464 is an apocalyptic number.

1066246238464 is the 1032592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066246238464

1066246238464 is an abundant number, since it is smaller than the sum of its proper divisors (1273553817927).

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

1066246238464 is an frugal number, since it uses more digits than its factorization.

1066246238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11772 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 52.

The spelling of 1066246238464 in words is "one trillion, sixty-six billion, two hundred forty-six million, two hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 5867 7744 11734 15488 23468 30976 46936 64537 93872 129074 187744 258148 375488 516296 709907 750976 1032592 1419814 1501952 2065184 2839628 4130368 5679256 8260736 11358512 16521472 22717024 34421689 45434048 68843378 90868096 137686756 181736192 275373512 378638579 550747024 757277158 1101494048 1514554316 2202988096 3029108632 4165024369 4405976192 6058217264 8330048738 8811952384 12116434528 16660097476 24232869056 33320194952 48465738112 66640389904 96931476224 133280779808 266561559616 533123119232 1066246238464