Search a number
-
+
1057544542760 = 235712291626091
BaseRepresentation
bin11110110001110101001…
…00010001101000101000
310202002201002122002010112
433120322210101220220
5114311322400332020
62125455041433452
7136255640203166
oct17307244215050
93662632562115
101057544542760
11378558362652
12150b6163b888
13789590c0a44
1439284b62236
151c79863b2c5
hexf63a911a28

1057544542760 has 64 divisors (see below), whose sum is σ = 2423527516800. Its totient is φ = 415238342400.

The previous prime is 1057544542751. The next prime is 1057544542801. The reversal of 1057544542760 is 672454457501.

It is a happy number.

It is a super-2 number, since 2×10575445427602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057544542699 and 1057544542708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162686 + ... + 1463405.

It is an arithmetic number, because the mean of its divisors is an integer number (37867617450).

Almost surely, 21057544542760 is an apocalyptic number.

1057544542760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057544542760 is an abundant number, since it is smaller than the sum of its proper divisors (1365982974040).

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

1057544542760 is a wasteful number, since it uses less digits than its factorization.

1057544542760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626402 (or 1626398 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 50.

The spelling of 1057544542760 in words is "one trillion, fifty-seven billion, five hundred forty-four million, five hundred forty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 71 142 229 284 355 458 568 710 916 1145 1420 1832 2290 2840 4580 9160 16259 32518 65036 81295 130072 162590 325180 650360 1626091 3252182 6504364 8130455 13008728 16260910 32521820 65043640 115452461 230904922 372374839 461809844 577262305 744749678 923619688 1154524610 1489499356 1861874195 2309049220 2978998712 3723748390 4618098440 7447496780 14894993560 26438613569 52877227138 105754454276 132193067845 211508908552 264386135690 528772271380 1057544542760