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10053597444 = 22311716191733
BaseRepresentation
bin10010101110011110…
…11011100100000100
3221221122121122222220
421113033123210010
5131042210104234
64341335252340
7504065111502
oct112717334404
927848548886
1010053597444
114299aa2620
121b46b1a0b0
13c42b35137
146b5315672
153dc948a49
hex2573db904

10053597444 has 96 divisors (see below), whose sum is σ = 26008335360. Its totient is φ = 2997052800.

The previous prime is 10053597443. The next prime is 10053597461. The reversal of 10053597444 is 44479535001.

10053597444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10053597396 and 10053597405.

It is not an unprimeable number, because it can be changed into a prime (10053597443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5800402 + ... + 5802134.

It is an arithmetic number, because the mean of its divisors is an integer number (270920160).

Almost surely, 210053597444 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 10053597444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004167680).

10053597444 is an abundant number, since it is smaller than the sum of its proper divisors (15954737916).

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

10053597444 is a wasteful number, since it uses less digits than its factorization.

10053597444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 10053597444 in words is "ten billion, fifty-three million, five hundred ninety-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 619 781 852 1238 1562 1733 1857 2343 2476 3124 3466 3714 4686 5199 6809 6932 7428 9372 10398 13618 19063 20427 20796 27236 38126 40854 43949 57189 76252 81708 87898 114378 123043 131847 175796 228756 246086 263694 369129 483439 492172 527388 738258 966878 1072727 1353473 1450317 1476516 1933756 2145454 2706946 2900634 3218181 4060419 4290908 5413892 5801268 6436362 8120838 11799997 12872724 16241676 23599994 35399991 47199988 70799982 76163617 141599964 152327234 228490851 304654468 456981702 837799787 913963404 1675599574 2513399361 3351199148 5026798722 10053597444