Search a number
-
+
10337421512 = 23114110726777
BaseRepresentation
bin10011010000010100…
…01000100011001000
3222200102200102102102
421220022020203020
5132132334442022
64425434452532
7514112430065
oct115012104310
928612612372
1010337421512
114425228870
122005b94148
13c8988b282
14700cb7c6c
1540780ea92
hex2682888c8

10337421512 has 64 divisors (see below), whose sum is σ = 21863701440. Its totient is φ = 4541209600.

The previous prime is 10337421473. The next prime is 10337421529. The reversal of 10337421512 is 21512473301.

It is a super-2 number, since 2×103374215122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372668 + ... + 399444.

It is an arithmetic number, because the mean of its divisors is an integer number (341620335).

Almost surely, 210337421512 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 10337421512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931850720).

10337421512 is an abundant number, since it is smaller than the sum of its proper divisors (11526279928).

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

10337421512 is a wasteful number, since it uses less digits than its factorization.

10337421512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26942 (or 26938 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 10337421512 its reverse (21512473301), we get a palindrome (31849894813).

The spelling of 10337421512 in words is "ten billion, three hundred thirty-seven million, four hundred twenty-one thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 82 88 107 164 214 328 428 451 856 902 1177 1804 2354 3608 4387 4708 8774 9416 17548 26777 35096 48257 53554 96514 107108 193028 214216 294547 386056 589094 1097857 1178188 2195714 2356376 2865139 4391428 5730278 8782856 11460556 12076427 22921112 24152854 31516529 48305708 63033058 96611416 117470699 126066116 234941398 252132232 469882796 939765592 1292177689 2584355378 5168710756 10337421512