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10542010545 = 3351129614013
BaseRepresentation
bin10011101000101101…
…00101000010110001
31000012200122121211000
421310112211002301
5133042223314140
64502023512213
7522145416423
oct116426450261
930180577730
1010542010545
11451a765610
1220625b8669
13cc0091281
14720132813
1541a773a30
hex2745a50b1

10542010545 has 128 divisors (see below), whose sum is σ = 21502195200. Its totient is φ = 4852915200.

The previous prime is 10542010543. The next prime is 10542010561. The reversal of 10542010545 is 54501024501.

10542010545 is a `hidden beast` number, since 10 + 542 + 0 + 105 + 4 + 5 = 666.

It is not a de Polignac number, because 10542010545 - 21 = 10542010543 is a prime.

It is a super-2 number, since 2×105420105452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10542010543) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2624959 + ... + 2628971.

It is an arithmetic number, because the mean of its divisors is an integer number (167985900).

Almost surely, 210542010545 is an apocalyptic number.

10542010545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10542010545 is an abundant number, since it is smaller than the sum of its proper divisors (10960184655).

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

10542010545 is a wasteful number, since it uses less digits than its factorization.

10542010545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 10542010545 in words is "ten billion, five hundred forty-two million, ten thousand, five hundred forty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 61 87 99 135 145 165 183 261 297 305 319 435 495 549 671 783 915 957 1305 1485 1595 1647 1769 2013 2745 2871 3355 3915 4013 4785 5307 6039 8235 8613 8845 10065 12039 14355 15921 18117 19459 20065 26535 30195 36117 43065 44143 47763 58377 60195 79605 90585 97295 108351 116377 132429 175131 180585 220715 238815 244793 291885 349131 397287 525393 541755 581885 662145 734379 875655 1047393 1191861 1223965 1280147 1745655 1986435 2203137 2626965 2692723 3142179 3671895 3840441 5236965 5959305 6400735 6609411 7098997 8078169 11015685 11521323 13463615 15710895 19202205 21296991 24234507 33047055 34563969 35494985 40390845 57606615 63890973 72703521 78088967 106484955 121172535 172819845 191672919 234266901 319454865 363517605 390444835 702800703 958364595 1171334505 2108402109 3514003515 10542010545