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10503535344 = 2436116212213
BaseRepresentation
bin10011100100000111…
…10011101011110000
31000010000020212202120
421302003303223300
5133002401112334
64454131114240
7521200402011
oct116203635360
930100225676
1010503535344
1144aaa76625
122051742980
13cb510c793
14718d99008
154171c3949
hex2720f3af0

10503535344 has 80 divisors (see below), whose sum is σ = 27608438304. Its totient is φ = 3440102400.

The previous prime is 10503535337. The next prime is 10503535379. The reversal of 10503535344 is 44353530501.

10503535344 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 2×105035353442 (a number of 21 digits) contains 22 as substring.

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, 4745182 + ... + 4747394.

Almost surely, 210503535344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10503535344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804219152).

10503535344 is an abundant number, since it is smaller than the sum of its proper divisors (17104902960).

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

10503535344 is a wasteful number, since it uses less digits than its factorization.

10503535344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 10503535344 in words is "ten billion, five hundred three million, five hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 1621 2213 2928 3242 4426 4863 6484 6639 8852 9726 12968 13278 17704 19452 25936 26556 35408 38904 53112 77808 98881 106224 134993 197762 269986 296643 395524 404979 539972 593286 791048 809958 1079944 1186572 1582096 1619916 2159888 2373144 3239832 3587273 4746288 6479664 7174546 10761819 14349092 21523638 28698184 43047276 57396368 86094552 172189104 218823653 437647306 656470959 875294612 1312941918 1750589224 2625883836 3501178448 5251767672 10503535344