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213431540054946 = 232313117990772719
BaseRepresentation
bin110000100001110101100111…
…001000001111101110100010
31000222200212002222212202102220
4300201311213020033232202
5210433330243223224241
62033533032415051510
762645630346121203
oct6041654710175642
91028625088782386
10213431540054946
1162007898237554
121bb30566b10b96
13921267aa25525
143a9c1da9c55aa
1519a1c9e056166
hexc21d6720fba2

213431540054946 has 128 divisors (see below), whose sum is σ = 451833724108800. Its totient is φ = 67078934345280.

The previous prime is 213431540054899. The next prime is 213431540054947. The reversal of 213431540054946 is 649450045134312.

It is not an unprimeable number, because it can be changed into a prime (213431540054947) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2934981175 + ... + 2935053893.

It is an arithmetic number, because the mean of its divisors is an integer number (3529950969600).

Almost surely, 2213431540054946 is an apocalyptic number.

213431540054946 is an abundant number, since it is smaller than the sum of its proper divisors (238402184053854).

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

213431540054946 is a wasteful number, since it uses less digits than its factorization.

213431540054946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73964.

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 213431540054946 in words is "two hundred thirteen trillion, four hundred thirty-one billion, five hundred forty million, fifty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 23 46 69 131 138 179 262 358 393 537 786 907 1074 1814 2721 3013 4117 5442 6026 8234 9039 12351 18078 20861 23449 24702 41722 46898 62583 70347 72719 118817 125166 140694 145438 162353 218157 237634 324706 356451 436314 487059 539327 712902 974118 1078654 1617981 1672537 2732791 3235962 3345074 3734119 5017611 5465582 7468238 8198373 9526189 10035222 11202357 13016701 16396746 19052378 21268243 22404714 26033402 28578567 39050103 42536486 57157134 63804729 65956133 78100206 127609458 131912266 197868399 219102347 299384123 395736798 438204694 489169589 598768246 657307041 898152369 978339178 1314614082 1467508767 1516991059 1705187831 1796304738 2935017534 3033982118 3410375662 4550973177 5115563493 8640253423 9101946354 10231126986 11806147807 17280506846 23612295614 25920760269 35418443421 39219320113 51841520538 70836886842 78438640226 117657960339 198725828729 235315920678 271541399561 397451657458 543082799122 596177486187 814624198683 1192354972374 1546605362717 1629248397366 3093210725434 4639816088151 9279632176302 35571923342491 71143846684982 106715770027473 213431540054946