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1057616743743 = 33731211385429
BaseRepresentation
bin11110110001111101101…
…11101100110100111111
310202002220010111021021000
433120332313230310333
5114311444341244433
62125510141141343
7136260504664530
oct17307667546477
93662803437230
101057616743743
1137859509728a
12150b8185a853
137896b050311
1439290598687
151c79eb4e113
hexf63edecd3f

1057616743743 has 64 divisors (see below), whose sum is σ = 1849333964800. Its totient is φ = 584573552640.

The previous prime is 1057616743691. The next prime is 1057616743747. The reversal of 1057616743743 is 3473476167501.

1057616743743 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 6 + 167 + 437 + 43 = 666.

It is not a de Polignac number, because 1057616743743 - 29 = 1057616743231 is a prime.

It is a super-2 number, since 2×10576167437432 (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 1057616743743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057616743747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12337353 + ... + 12422781.

It is an arithmetic number, because the mean of its divisors is an integer number (28895843200).

Almost surely, 21057616743743 is an apocalyptic number.

1057616743743 is a deficient number, since it is larger than the sum of its proper divisors (791717221057).

1057616743743 is a wasteful number, since it uses less digits than its factorization.

1057616743743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87589 (or 87583 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 1057616743743 in words is "one trillion, fifty-seven billion, six hundred sixteen million, seven hundred forty-three thousand, seven hundred forty-three".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 2113 5859 6339 14791 19017 44373 57051 65503 85429 133119 196509 256287 399357 458521 589527 598003 768861 1375563 1768581 1794009 2306583 2648299 4126689 5382027 7944897 12380067 16146081 18538093 23834691 55614279 71504073 166842837 180511477 500528511 541534431 1263580339 1624603293 3790741017 4873809879 5595855787 11372223051 16787567361 34116669153 39170990509 50362702083 117512971527 151088106249 352538914581 1057616743743