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55066614540 = 223572171101773
BaseRepresentation
bin110011010010001110…
…011101101100001100
312021010200112212011020
4303102032131230030
51400234023131130
641144112354140
73656413333500
oct632216355414
9167120485136
1055066614540
11213987395a3
12a809845950
1352676531b2
1429455b2300
1516745a8e10
hexcd239db0c

55066614540 has 144 divisors (see below), whose sum is σ = 189910580832. Its totient is φ = 11846252544.

The previous prime is 55066614527. The next prime is 55066614541. The reversal of 55066614540 is 4541666055.

55066614540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 55066614492 and 55066614501.

It is not an unprimeable number, because it can be changed into a prime (55066614541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500907 + ... + 600866.

It is an arithmetic number, because the mean of its divisors is an integer number (1318823478).

Almost surely, 255066614540 is an apocalyptic number.

It is an amenable number.

55066614540 is an abundant number, since it is smaller than the sum of its proper divisors (134843966292).

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

55066614540 is a wasteful number, since it uses less digits than its factorization.

55066614540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101816 (or 1101807 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 55066614540 in words is "fifty-five billion, sixty-six million, six hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2940 3332 3570 4165 4998 7140 8330 9996 12495 16660 24990 49980 1101773 2203546 3305319 4407092 5508865 6610638 7712411 11017730 13221276 15424822 16526595 18730141 22035460 23137233 30849644 33053190 37460282 38562055 46274466 53986877 56190423 66106380 74920564 77124110 92548932 93650705 107973754 112380846 115686165 131110987 154248220 161960631 187301410 215947508 224761692 231372330 262221974 269934385 280952115 323921262 374602820 393332961 462744660 524443948 539868770 561904230 647842524 655554935 786665922 809803155 917776909 1079737540 1123808460 1311109870 1573331844 1619606310 1835553818 1966664805 2622219740 2753330727 3239212620 3671107636 3933329610 4588884545 5506661454 7866659220 9177769090 11013322908 13766653635 18355538180 27533307270 55066614540