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10552413040 = 2451319534029
BaseRepresentation
bin10011101001111100…
…10000101101110000
31000020102020010100121
421310332100231300
5133102404204130
64503034500024
7522333013411
oct116476205560
930212203317
1010552413040
114525620114
122065b94614
13cc22940b0
1472167d808
1541b62ad7a
hex274f90b70

10552413040 has 80 divisors (see below), whose sum is σ = 27812282400. Its totient is φ = 3691201536.

The previous prime is 10552413017. The next prime is 10552413083. The reversal of 10552413040 is 4031425501.

It is a happy number.

10552413040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105524130402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10552412996 and 10552413014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247255 + ... + 286774.

It is an arithmetic number, because the mean of its divisors is an integer number (347653530).

Almost surely, 210552413040 is an apocalyptic number.

10552413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10552413040 is an abundant number, since it is smaller than the sum of its proper divisors (17259869360).

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

10552413040 is a wasteful number, since it uses less digits than its factorization.

10552413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534074 (or 534068 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10552413040 its reverse (4031425501), we get a palindrome (14583838541).

The spelling of 10552413040 in words is "ten billion, five hundred fifty-two million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 534029 1068058 2136116 2670145 4272232 5340290 6942377 8544464 10146551 10680580 13884754 20293102 21361160 27769508 34711885 40586204 42722320 50732755 55539016 69423770 81172408 101465510 111078032 131905163 138847540 162344816 202931020 263810326 277695080 405862040 527620652 555390160 659525815 811724080 1055241304 1319051630 2110482608 2638103260 5276206520 10552413040