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42553544535524 = 221125310116424537
BaseRepresentation
bin10011010110011110001001…
…11001111110110111100100
312120200002010200110210210102
421223033010321332313210
521034144124400114044
6230300454541443232
711651251334341631
oct1153170471766744
9176602120423712
1042553544535524
1112616947581400
1249331b3b70518
131a98a22179cc9
14a71861551188
154dbdae47a24e
hex26b3c4e7ede4

42553544535524 has 72 divisors (see below), whose sum is σ = 84224176788024. Its totient is φ = 18789669184000.

The previous prime is 42553544535521. The next prime is 42553544535559.

42553544535524 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 14609824398400 + 27943720137124 = 3822280^2 + 5286182^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42553544535524.

It is not an unprimeable number, because it can be changed into a prime (42553544535521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5621417 + ... + 10803120.

It is an arithmetic number, because the mean of its divisors is an integer number (1169780233167).

Almost surely, 242553544535524 is an apocalyptic number.

42553544535524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42553544535524 is a deficient number, since it is larger than the sum of its proper divisors (41670632252500).

42553544535524 is a wasteful number, since it uses less digits than its factorization.

42553544535524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16424717 (or 16424704 counting only the distinct ones).

The product of its digits is 144000000, while the sum is 56.

The spelling of 42553544535524 in words is "forty-two trillion, five hundred fifty-three billion, five hundred forty-four million, five hundred thirty-five thousand, five hundred twenty-four".

Divisors: 1 2 4 11 22 44 53 101 106 121 202 212 242 404 484 583 1111 1166 2222 2332 4444 5353 6413 10706 12221 12826 21412 24442 25652 48884 58883 117766 235532 647713 1295426 2590852 16424537 32849074 65698148 180669907 361339814 722679628 870500461 1658878237 1741000922 1987368977 3317756474 3482001844 3974737954 6635512948 7949475908 9575505071 18247660607 19151010142 36495321214 38302020284 72990642428 87920546561 105330555781 175841093122 200724266677 210661111562 351682186244 401448533354 421322223124 802897066708 967126012171 1934252024342 3868504048684 10638386133881 21276772267762 42553544535524