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1066770077440 = 2855471523609
BaseRepresentation
bin11111000011000000111…
…00111001011100000000
310202222112001002210120011
433201200130321130000
5114434221114434230
62134022320554304
7140033362021564
oct17414034713400
93688461083504
101066770077440
11381461997381
121528b7182994
13797994c89c2
14398bc0c56a4
151cb38517e2a
hexf860739700

1066770077440 has 72 divisors (see below), whose sum is σ = 2559920766480. Its totient is φ = 425927663616.

The previous prime is 1066770077389. The next prime is 1066770077441. The reversal of 1066770077440 is 447700776601.

It is a happy number.

It is a super-2 number, since 2×10667700774402 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066770077441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61645 + ... + 1461964.

It is an arithmetic number, because the mean of its divisors is an integer number (35554455090).

Almost surely, 21066770077440 is an apocalyptic number.

1066770077440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066770077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279960383240).

1066770077440 is an abundant number, since it is smaller than the sum of its proper divisors (1493150689040).

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

1066770077440 is an equidigital number, since it uses as much as digits as its factorization.

1066770077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524177 (or 1524163 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 49.

The spelling of 1066770077440 in words is "one trillion, sixty-six billion, seven hundred seventy million, seventy-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 547 640 1094 1280 2188 2735 4376 5470 8752 10940 17504 21880 35008 43760 70016 87520 140032 175040 350080 700160 1523609 3047218 6094436 7618045 12188872 15236090 24377744 30472180 48755488 60944360 97510976 121888720 195021952 243777440 390043904 487554880 833414123 975109760 1666828246 1950219520 3333656492 4167070615 6667312984 8334141230 13334625968 16668282460 26669251936 33336564920 53338503872 66673129840 106677007744 133346259680 213354015488 266692519360 533385038720 1066770077440