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10634244054 = 2379724110831
BaseRepresentation
bin10011110011101100…
…11010111111010110
31000110010012120101220
421321312122333112
5133234331302204
64515120431210
7524345403660
oct117166327726
930403176356
1010634244054
114567831a55
122089478506
131006215a05
1472c4a1530
154238e21d9
hex279d9afd6

10634244054 has 64 divisors (see below), whose sum is σ = 24661604352. Its totient is φ = 2994278400.

The previous prime is 10634244053. The next prime is 10634244077. The reversal of 10634244054 is 45044243601.

It is a happy number.

It is a super-2 number, since 2×106342440542 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634244053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976419 + ... + 987249.

It is an arithmetic number, because the mean of its divisors is an integer number (385337568).

Almost surely, 210634244054 is an apocalyptic number.

10634244054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10634244054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12330802176).

10634244054 is an abundant number, since it is smaller than the sum of its proper divisors (14027360298).

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

10634244054 is a wasteful number, since it uses less digits than its factorization.

10634244054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11181.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 10634244054 its reverse (45044243601), we get a palindrome (55678487655).

The spelling of 10634244054 in words is "ten billion, six hundred thirty-four million, two hundred forty-four thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 97 194 241 291 482 582 679 723 1358 1446 1687 2037 3374 4074 5061 10122 10831 21662 23377 32493 46754 64986 70131 75817 140262 151634 163639 227451 327278 454902 490917 981834 1050607 2101214 2610271 3151821 5220542 6303642 7354249 7830813 14708498 15661626 18271897 22062747 36543794 44125494 54815691 109631382 253196287 506392574 759588861 1519177722 1772374009 3544748018 5317122027 10634244054