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1057021145712 = 243271048632089
BaseRepresentation
bin11110110000110110101…
…11101011001001110000
310202001100121202202100200
433120123113223021300
5114304234403130322
62125331103315200
7136236653331240
oct17303327531160
93661317682320
101057021145712
11378309975704
12150a362abb00
13788a483624c
1439235439b20
151c7677008ac
hexf61b5eb270

1057021145712 has 60 divisors (see below), whose sum is σ = 3380789858160. Its totient is φ = 302006041344.

The previous prime is 1057021145711. The next prime is 1057021145723. The reversal of 1057021145712 is 2175411207501.

It is a happy number.

1057021145712 is a `hidden beast` number, since 1 + 0 + 5 + 70 + 2 + 1 + 14 + 571 + 2 = 666.

It is a super-2 number, since 2×10570211457122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057021145711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524315037 + ... + 524317052.

It is an arithmetic number, because the mean of its divisors is an integer number (56346497636).

Almost surely, 21057021145712 is an apocalyptic number.

1057021145712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057021145712 is an abundant number, since it is smaller than the sum of its proper divisors (2323768712448).

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

1057021145712 is a wasteful number, since it uses less digits than its factorization.

1057021145712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048632110 (or 1048632101 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 1057021145712 in words is "one trillion, fifty-seven billion, twenty-one million, one hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1048632089 2097264178 3145896267 4194528356 6291792534 7340424623 8389056712 9437688801 12583585068 14680849246 16778113424 18875377602 22021273869 25167170136 29361698492 37750755204 44042547738 50334340272 58723396984 66063821607 75501510408 88085095476 117446793968 132127643214 151003020816 176170190952 264255286428 352340381904 528510572856 1057021145712