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20520540540 = 22335172235353
BaseRepresentation
bin10011000111000111…
…101001100101111100
31221222010000110122000
4103013013221211330
5314011224244130
613232122222300
71324342500543
oct230707514574
957863013560
1020520540540
118780345915
123b88354990
131c204a21a6
14dc94a715a
158017e0260
hex4c71e997c

20520540540 has 96 divisors (see below), whose sum is σ = 67597104960. Its totient is φ = 5150251008.

The previous prime is 20520540473. The next prime is 20520540559. The reversal of 20520540540 is 4504502502.

20520540540 is a `hidden beast` number, since 20 + 52 + 0 + 54 + 0 + 540 = 666.

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

20520540540 is a modest number, since divided by 540540 gives 20520 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1108497 + ... + 1126856.

It is an arithmetic number, because the mean of its divisors is an integer number (704136510).

Almost surely, 220520540540 is an apocalyptic number.

20520540540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20520540540 is an abundant number, since it is smaller than the sum of its proper divisors (47076564420).

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

20520540540 is a wasteful number, since it uses less digits than its factorization.

20520540540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235388 (or 2235380 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 20520540540 in words is "twenty billion, five hundred twenty million, five hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 2235353 4470706 6706059 8941412 11176765 13412118 20118177 22353530 26824236 33530295 38001001 40236354 44707060 60354531 67060590 76002002 80472708 100590885 114003003 120709062 134121180 152004004 190005005 201181770 228006006 241418124 301772655 342009009 380010010 402363540 456012012 570015015 603545310 684018018 760020020 1026027027 1140030030 1207090620 1368036036 1710045045 2052054054 2280060060 3420090090 4104108108 5130135135 6840180180 10260270270 20520540540