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213151779060942 = 231914939788335797
BaseRepresentation
bin110000011101110001000100…
…000100101111110011001110
31000221201002222222012202112110
4300131301010010233303032
5210414234320414422232
62033200324150044450
762616464534655111
oct6035610404576316
91027632888182473
10213151779060942
1161a0a186473a97
121baa62ab649726
1391c2184c64b17
143a8c85b7c2578
1519998785c4acc
hexc1dc4412fcce

213151779060942 has 128 divisors (see below), whose sum is σ = 453415749696000. Its totient is φ = 66613535847936.

The previous prime is 213151779060907. The next prime is 213151779060973. The reversal of 213151779060942 is 249060977151312.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 63 ways as a sum of consecutive naturals, for example, 5954441388 + ... + 5954477184.

It is an arithmetic number, because the mean of its divisors is an integer number (3542310544500).

Almost surely, 2213151779060942 is an apocalyptic number.

213151779060942 is an abundant number, since it is smaller than the sum of its proper divisors (240263970635058).

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

213151779060942 is a wasteful number, since it uses less digits than its factorization.

213151779060942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37250.

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 213151779060942 in words is "two hundred thirteen trillion, one hundred fifty-one billion, seven hundred seventy-nine million, sixty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 19 38 57 114 149 298 397 447 794 883 894 1191 1766 2382 2649 2831 5298 5662 7543 8493 15086 16777 16986 22629 33554 35797 45258 50331 59153 71594 100662 107391 118306 131567 177459 214782 263134 350551 354918 394701 680143 701102 789402 1051653 1123907 1360286 2040429 2103306 2247814 2499773 3371721 4080858 4999546 5333753 6660469 6743442 7499319 10667506 13320938 14211409 14998638 16001259 19981407 28422818 31608751 32002518 39962814 42634227 52232099 63217502 85268454 94826253 101341307 104464198 156696297 189652506 202682614 270016771 304023921 313392594 540033542 600566269 608047842 810050313 992409881 1201132538 1620100626 1801698807 1984819762 2117499941 2977229643 3603397614 4234999882 4709703899 5954459286 6352499823 9419407798 12548674147 12704999646 14129111697 25097348294 28258223394 37646022441 40232498879 75292044882 80464997758 89484374081 120697496637 178968748162 238424808793 241394993274 268453122243 476849617586 536906244486 715274426379 1430548852758 1869752447903 3739504895806 5609257343709 11218514687418 35525296510157 71050593020314 106575889530471 213151779060942