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42553133135524 = 221126110313993267
BaseRepresentation
bin10011010110011101011000…
…11000100111011010100100
312120200001002000100112002101
421223032230120213122210
521034142304040314044
6230300350044021444
711651235210450004
oct1153165430473244
9176601060315071
1042553133135524
111261675632a500
1249330ba231884
131a98987b7685b
14a71822a60004
154dbd882b3cd4
hex26b3ac6276a4

42553133135524 has 72 divisors (see below), whose sum is σ = 84002819211584. Its totient is φ = 18840533342400.

The previous prime is 42553133135483. The next prime is 42553133135587.

42553133135524 is nontrivially palindromic in base 10.

42553133135524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425531331355242 (a number of 28 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3955662 + ... + 10037605.

Almost surely, 242553133135524 is an apocalyptic number.

42553133135524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42553133135524 is a deficient number, since it is larger than the sum of its proper divisors (41449686076060).

42553133135524 is a wasteful number, since it uses less digits than its factorization.

42553133135524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13993457 (or 13993444 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 46.

The spelling of 42553133135524 in words is "forty-two trillion, five hundred fifty-three billion, one hundred thirty-three million, one hundred thirty-five thousand, five hundred twenty-four".

Divisors: 1 2 4 11 22 44 61 103 121 122 206 242 244 412 484 671 1133 1342 2266 2684 4532 6283 7381 12463 12566 14762 24926 25132 29524 49852 69113 138226 276452 760243 1520486 3040972 13993267 27986534 55973068 153925937 307851874 615703748 853589287 1441306501 1693185307 1707178574 2882613002 3386370614 3414357148 5765226004 6772741228 9389482157 15854371511 18778964314 31708743022 37557928628 63417486044 87919696561 103284303727 174398086621 175839393122 206568607454 348796173242 351678786244 413137214908 697592346484 967116662171 1934233324342 3868466648684 10638283283881 21276566567762 42553133135524