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214545502714656 = 2532922657370971
BaseRepresentation
bin110000110010000011000100…
…011110100011101100100000
31001010122100102222011010111110
4300302003010132203230200
5211110103142143332111
62040144502052543320
763122254363364361
oct6062030436435440
91033570388133443
10214545502714656
11623a7267102433
1220090432921b40
139293728467609
143ada0b4605b68
1519c0c4a7115a6
hexc320c47a3b20

214545502714656 has 72 divisors (see below), whose sum is σ = 583271669386224. Its totient is φ = 69049127284480.

The previous prime is 214545502714567. The next prime is 214545502714691. The reversal of 214545502714656 is 656417205545412.

It is a junction number, because it is equal to n+sod(n) for n = 214545502714596 and 214545502714605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1328604750 + ... + 1328766221.

It is an arithmetic number, because the mean of its divisors is an integer number (8100995408142).

Almost surely, 2214545502714656 is an apocalyptic number.

It is an amenable number.

214545502714656 is an abundant number, since it is smaller than the sum of its proper divisors (368726166671568).

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

214545502714656 is a wasteful number, since it uses less digits than its factorization.

214545502714656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657371042 (or 2657371005 counting only the distinct ones).

The product of its (nonzero) digits is 40320000, while the sum is 57.

The spelling of 214545502714656 in words is "two hundred fourteen trillion, five hundred forty-five billion, five hundred two million, seven hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 841 928 1392 1682 2523 2784 3364 5046 6728 10092 13456 20184 26912 40368 80736 2657370971 5314741942 7972112913 10629483884 15944225826 21258967768 31888451652 42517935536 63776903304 77063758159 85035871072 127553806608 154127516318 231191274477 255107613216 308255032636 462382548954 616510065272 924765097908 1233020130544 1849530195816 2234848986611 2466040261088 3699060391632 4469697973222 6704546959833 7398120783264 8939395946444 13409093919666 17878791892888 26818187839332 35757583785776 53636375678664 71515167571552 107272751357328 214545502714656