Search a number
-
+
1054040556560 = 245171698145641
BaseRepresentation
bin11110101011010011011…
…01101000010000010000
310201202122220021010200212
433111221231220100100
5114232133340302220
62124115231103252
7136103051622035
oct17255155502020
93652586233625
101054040556560
1137701a462992
12150344071b28
137851b189c24
143903164738c
151c640be30c5
hexf569b68410

1054040556560 has 80 divisors (see below), whose sum is σ = 2595009502512. Its totient is φ = 396783206400.

The previous prime is 1054040556559. The next prime is 1054040556671. The reversal of 1054040556560 is 656550404501.

It can be written as a sum of positive squares in 8 ways, for example, as 147827946256 + 906212610304 = 384484^2 + 951952^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10540405565602 (a number of 25 digits) contains 22 as substring.

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, 23071340 + ... + 23116980.

Almost surely, 21054040556560 is an apocalyptic number.

1054040556560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054040556560 is an abundant number, since it is smaller than the sum of its proper divisors (1540968945952).

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

1054040556560 is a wasteful number, since it uses less digits than its factorization.

1054040556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62652 (or 62646 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 1054040556560 in words is "one trillion, fifty-four billion, forty million, five hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 16981 33962 45641 67924 84905 91282 135848 169810 182564 228205 271696 288677 339620 365128 456410 577354 679240 730256 775897 912820 1154708 1358480 1443385 1551794 1825640 2309416 2886770 3103588 3651280 3879485 4618832 5773540 6207176 7758970 11547080 12414352 15517940 23094160 31035880 62071760 775029821 1550059642 3100119284 3875149105 6200238568 7750298210 12400477136 13175506957 15500596420 26351013914 31001192840 52702027828 62002385680 65877534785 105404055656 131755069570 210808111312 263510139140 527020278280 1054040556560