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21240385716555 = 3451771345712569
BaseRepresentation
bin1001101010001011010011…
…01001010100000101001011
32210012120011000000120210000
410311011221221110011023
510241000302220412210
6113101410512454043
74321365362450535
oct465055151240513
983176130016700
1021240385716555
116849aa7001785
12247064224a323
13bb0c62831135
1453607c27a855
1526c7a0349ac0
hex135169a5414b

21240385716555 has 160 divisors (see below), whose sum is σ = 40897982885760. Its totient is φ = 10507797135360.

The previous prime is 21240385716553. The next prime is 21240385716559. The reversal of 21240385716555 is 55561758304212.

21240385716555 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 3 + 8 + 571 + 65 + 5 + 5 = 666.

It is not a de Polignac number, because 21240385716555 - 21 = 21240385716553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21240385716553) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1689896311 + ... + 1689908879.

It is an arithmetic number, because the mean of its divisors is an integer number (255612393036).

Almost surely, 221240385716555 is an apocalyptic number.

21240385716555 is a deficient number, since it is larger than the sum of its proper divisors (19657597169205).

21240385716555 is a wasteful number, since it uses less digits than its factorization.

21240385716555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16131 (or 16122 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 21240385716555 in words is "twenty-one trillion, two hundred forty billion, three hundred eighty-five million, seven hundred sixteen thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 71 81 85 135 153 213 255 355 405 459 639 765 1065 1207 1377 1917 2295 3195 3457 3621 5751 6035 6885 9585 10371 10863 12569 17285 18105 28755 31113 32589 37707 51855 54315 58769 62845 93339 97767 113121 155565 162945 176307 188535 213673 245447 280017 293845 339363 466695 488835 528921 565605 641019 736341 881535 892399 1018089 1068365 1227235 1400085 1586763 1696815 1923057 2209023 2644605 2677197 3205095 3681705 4172599 4461995 4760289 5090445 5769171 6627069 7933815 8031591 9615285 11045115 12517797 13385985 15170783 17307513 19881207 20862995 23801445 24094773 28845855 33135345 37553391 40157955 43451033 45512349 62588985 72284319 75853915 86537565 99406035 112660173 120473865 130353099 136537047 187766955 217255165 227561745 337980519 361421595 391059297 409611141 563300865 651765495 682685235 738667561 1173177891 1228833423 1689902595 1955296485 2048055705 2216002683 3085023343 3519533673 3693337805 5865889455 6144167115 6648008049 9255070029 11080013415 15425116715 17597668365 19944024147 27765210087 33240040245 46275350145 52445396831 59832072441 83295630261 99720120735 138826050435 157336190493 249886890783 262226984155 299160362205 416478151305 472008571479 786680952465 1249434453915 1416025714437 2360042857395 4248077143311 7080128572185 21240385716555