Search a number
-
+
1054637076045 = 3572310910633769
BaseRepresentation
bin11110101100011010100…
…01001010111001001101
310201211012110201110121010
433112031101022321031
5114234344042413140
62124254340355433
7136123614143640
oct17261521127115
93654173643533
101054637076045
113772a61538a3
1215048b9a5b79
13785b4937537
143908a965a57
151c678274880
hexf58d44ae4d

1054637076045 has 128 divisors (see below), whose sum is σ = 2033237606400. Its totient is φ = 456376301568.

The previous prime is 1054637076023. The next prime is 1054637076079. The reversal of 1054637076045 is 5406707364501.

It is a happy number.

It is not a de Polignac number, because 1054637076045 - 27 = 1054637075917 is a prime.

It is a super-2 number, since 2×10546370760452 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054637075985 and 1054637076003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279816921 + ... + 279820689.

It is an arithmetic number, because the mean of its divisors is an integer number (15884668800).

Almost surely, 21054637076045 is an apocalyptic number.

1054637076045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054637076045 is a deficient number, since it is larger than the sum of its proper divisors (978600530355).

1054637076045 is a wasteful number, since it uses less digits than its factorization.

1054637076045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979.

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 1054637076045 in words is "one trillion, fifty-four billion, six hundred thirty-seven million, seventy-six thousand, forty-five".

Divisors: 1 3 5 7 15 21 23 35 69 105 109 115 161 327 345 483 545 763 805 1063 1635 2289 2415 2507 3189 3769 3815 5315 7441 7521 11307 11445 12535 15945 17549 18845 22323 24449 26383 37205 37605 52647 56535 73347 79149 86687 87745 111615 115867 122245 131915 171143 260061 263235 347601 366735 395745 410821 433435 513429 579335 606809 811069 855715 1232463 1300305 1738005 1820427 2054105 2433207 2567145 2664941 2875747 3034045 4006447 4055345 6162315 7994823 8627241 9102135 9448883 12019341 12166035 13324705 14378735 18654587 20032235 28045129 28346649 39974115 43136205 47244415 55963761 60096705 66142181 84135387 92148281 93272935 140225645 141733245 198426543 276444843 279818805 330710905 420676935 436702723 460741405 645037967 992132715 1310108169 1382224215 1935113901 2183513615 3056919061 3225189835 6550540845 9170757183 9675569505 10044162629 15284595305 30132487887 45853785915 50220813145 70309138403 150662439435 210927415209 351545692015 1054637076045