Search a number
-
+
10240635036534 = 237261571017901
BaseRepresentation
bin1001010100000101010101…
…1010011110001101110110
31100020222212110111200011220
42111001111122132031312
52320240310032132114
633440252141011210
72104601324404500
oct225012532361566
940228773450156
1010240635036534
113299035561641
121194853b53b06
135938c2c720c6
14275913c84d70
1512b5b09dd0a9
hex9505569e376

10240635036534 has 48 divisors (see below), whose sum is σ = 24215727188016. Its totient is φ = 2877930216000.

The previous prime is 10240635036503. The next prime is 10240635036557. The reversal of 10240635036534 is 43563053604201.

10240635036534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285491017 + ... + 285526884.

It is an arithmetic number, because the mean of its divisors is an integer number (504494316417).

Almost surely, 210240635036534 is an apocalyptic number.

10240635036534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10240635036534 is an abundant number, since it is smaller than the sum of its proper divisors (13975092151482).

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

10240635036534 is a wasteful number, since it uses less digits than its factorization.

10240635036534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571017981 (or 571017974 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 10240635036534 in words is "ten trillion, two hundred forty billion, six hundred thirty-five million, thirty-six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 854 1281 2562 2989 5978 8967 17934 571017901 1142035802 1713053703 3426107406 3997125307 7994250614 11991375921 23982751842 27979877149 34832091961 55959754298 69664183922 83939631447 104496275883 167879262894 208992551766 243824643727 487649287454 731473931181 1462947862362 1706772506089 3413545012178 5120317518267 10240635036534