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20354377345302 = 237111326312885959
BaseRepresentation
bin1001010000011000111110…
…11011100110100100010110
32200001212012112221212220210
410220030133123212210112
510131441231100022202
6111142401042310250
74200361305531540
oct450143733464426
980055175855823
1020354377345302
116538274412730
122348993958386
13b48542a127c0
1450522b1cc690
152546e634ac6c
hex12831f6e6916

20354377345302 has 128 divisors (see below), whose sum is σ = 54865737400320. Its totient is φ = 4861614234240.

The previous prime is 20354377345301. The next prime is 20354377345303.

20354377345302 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20354377345301) and next prime (20354377345303).

It is a super-2 number, since 2×203543773453022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20354377345301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4863402 + ... + 8022557.

It is an arithmetic number, because the mean of its divisors is an integer number (428638573440).

Almost surely, 220354377345302 is an apocalyptic number.

20354377345302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20354377345302 is an abundant number, since it is smaller than the sum of its proper divisors (34511360055018).

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

20354377345302 is a wasteful number, since it uses less digits than its factorization.

20354377345302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12886258.

The product of its (nonzero) digits is 6350400, while the sum is 48.

The spelling of 20354377345302 in words is "twenty trillion, three hundred fifty-four billion, three hundred seventy-seven million, three hundred forty-five thousand, three hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 263 273 286 429 462 526 546 789 858 1001 1578 1841 2002 2893 3003 3419 3682 5523 5786 6006 6838 8679 10257 11046 17358 20251 20514 23933 37609 40502 47866 60753 71799 75218 112827 121506 143598 225654 263263 526526 789789 1579578 12885959 25771918 38657877 77315754 90201713 141745549 167517467 180403426 270605139 283491098 335034934 425236647 502552401 541210278 850473294 992218843 1005104802 1172622269 1842692137 1984437686 2345244538 2976656529 3389007217 3517866807 3685384274 5528076411 5953313058 6778014434 7035733614 10167021651 11056152822 12898844959 20334043302 23723050519 25797689918 37279079387 38696534877 44057093821 47446101038 71169151557 74558158774 77393069754 88114187642 111837238161 132171281463 142338303114 223674476322 260953555709 264342562926 308399656747 484628032031 521907111418 616799313494 782860667127 925198970241 969256064062 1453884096093 1565721334254 1850397940482 2907768192186 3392396224217 6784792448434 10177188672651 20354377345302