Search a number
-
+
10040225536 = 281114923929
BaseRepresentation
bin10010101100111000…
…11010111100000000
3221220201110022012001
421112130122330000
5131030244204121
64340140513344
7503543336365
oct112634327400
927821408161
1010040225536
11429249a060
121b4254b854
13c40132873
146b363446c
153db6a6991
hex25671af00

10040225536 has 72 divisors (see below), whose sum is σ = 22010814000. Its totient is φ = 4532920320.

The previous prime is 10040225527. The next prime is 10040225557. The reversal of 10040225536 is 63552204001.

It is a super-2 number, since 2×100402255362 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407620 + ... + 431548.

It is an arithmetic number, because the mean of its divisors is an integer number (305705750).

Almost surely, 210040225536 is an apocalyptic number.

10040225536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11005407000).

10040225536 is an abundant number, since it is smaller than the sum of its proper divisors (11970588464).

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

10040225536 is a wasteful number, since it uses less digits than its factorization.

10040225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24105 (or 24091 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 10040225536 its reverse (63552204001), we get a palindrome (73592429537).

The spelling of 10040225536 in words is "ten billion, forty million, two hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 149 176 256 298 352 596 704 1192 1408 1639 2384 2816 3278 4768 6556 9536 13112 19072 23929 26224 38144 47858 52448 95716 104896 191432 209792 263219 382864 419584 526438 765728 1052876 1531456 2105752 3062912 3565421 4211504 6125824 7130842 8423008 14261684 16846016 28523368 33692032 39219631 57046736 67384064 78439262 114093472 156878524 228186944 313757048 456373888 627514096 912747776 1255028192 2510056384 5020112768 10040225536