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10553383134 = 2337231128659
BaseRepresentation
bin10011101010000011…
…11101100011011110
31000020111001102002000
421311001331203132
5133103131230014
64503111343130
7522344163600
oct116501754336
930214042060
1010553383134
114526122a48
122066381aa6
13cc2543808
14721853170
1541b76d509
hex27507d8de

10553383134 has 96 divisors (see below), whose sum is σ = 28161100800. Its totient is φ = 2917963440.

The previous prime is 10553383133. The next prime is 10553383153. The reversal of 10553383134 is 43138335501.

10553383134 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 338 + 313 + 4 = 666.

It is a super-2 number, since 2×105533831342 (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 (10553383133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17697 + ... + 146355.

It is an arithmetic number, because the mean of its divisors is an integer number (293344800).

Almost surely, 210553383134 is an apocalyptic number.

10553383134 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 10553383134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14080550400).

10553383134 is an abundant number, since it is smaller than the sum of its proper divisors (17607717666).

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

10553383134 is a wasteful number, since it uses less digits than its factorization.

10553383134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128715 (or 128702 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10553383134 in words is "ten billion, five hundred fifty-three million, three hundred eighty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 651 837 882 1302 1323 1519 1674 1953 2646 3038 3906 4557 5859 9114 11718 13671 27342 41013 82026 128659 257318 385977 771954 900613 1157931 1801226 2315862 2701839 3473793 3988429 5403678 6304291 6947586 7976858 8105517 11965287 12608582 16211034 18912873 23930574 24316551 27919003 35895861 37825746 48633102 55838006 56738619 71791722 83757009 107687583 113477238 167514018 170215857 195433021 215375166 251271027 340431714 390866042 502542054 586299063 753813081 1172598126 1507626162 1758897189 3517794378 5276691567 10553383134