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205355300540532 = 2232333491310316061
BaseRepresentation
bin101110101100010100000001…
…101111011101000001110100
3222221002202220222101202000120
4232230110001233131001310
5203404020123414244112
62004430531145411540
761153300532663112
oct5654240157350164
9887082828352016
10205355300540532
115a48376a60a76a
121b047296799bb0
138a77bca10a17c
14389d36cbb4ab2
1518b1b68d34e8c
hexbac501bdd074

205355300540532 has 96 divisors (see below), whose sum is σ = 482664590553600. Its totient is φ = 67953269345280.

The previous prime is 205355300540501. The next prime is 205355300540567. The reversal of 205355300540532 is 235045003553502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12785951782 + ... + 12785967842.

It is an arithmetic number, because the mean of its divisors is an integer number (5027756151600).

Almost surely, 2205355300540532 is an apocalyptic number.

It is an amenable number.

205355300540532 is an abundant number, since it is smaller than the sum of its proper divisors (277309290013068).

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

205355300540532 is a wasteful number, since it uses less digits than its factorization.

205355300540532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29753 (or 29751 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 42.

The spelling of 205355300540532 in words is "two hundred five trillion, three hundred fifty-five billion, three hundred million, five hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 233 349 466 698 699 932 1047 1396 1398 2094 2796 4188 13103 16061 26206 32122 39309 48183 52412 64244 78618 81317 96366 157236 162634 192732 243951 325268 487902 975804 3052999 3742213 4572947 5605289 6105998 7484426 9145894 9158997 11210578 11226639 12211996 13718841 14968852 16815867 18291788 18317994 22421156 22453278 27437682 33631734 36635988 44906556 54875364 67263468 210447283 420894566 631341849 841789132 1065496651 1262683698 1306032337 2130993302 2525367396 2612064674 3196489953 3918097011 4261986604 5224129348 6392979906 7836194022 12785959812 15672388044 49034216939 73446101767 98068433878 146892203534 147102650817 196136867756 220338305301 293784407068 294205301634 440676610602 588410603268 881353221204 17112941711711 34225883423422 51338825135133 68451766846844 102677650270266 205355300540532