Search a number
-
+
10424451552 = 2532326917551
BaseRepresentation
bin10011011010101100…
…01000000111100000
3222220111110000012020
421231112020013200
5132322124422202
64442224101440
7516220243014
oct115526100740
928814400166
1010424451552
11446a370819
12202b164880
13ca1910438
1470c690544
154102a15bc
hex26d5881e0

10424451552 has 96 divisors (see below), whose sum is σ = 28661713920. Its totient is φ = 3311193600.

The previous prime is 10424451551. The next prime is 10424451559. The reversal of 10424451552 is 25515442401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424451551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585177 + ... + 602727.

It is an arithmetic number, because the mean of its divisors is an integer number (298559520).

Almost surely, 210424451552 is an apocalyptic number.

10424451552 is a gapful number since it is divisible by the number (12) 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 10424451552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330856960).

10424451552 is an abundant number, since it is smaller than the sum of its proper divisors (18237262368).

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

10424451552 is a wasteful number, since it uses less digits than its factorization.

10424451552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17856 (or 17848 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 10424451552 its reverse (25515442401), we get a palindrome (35939893953).

The spelling of 10424451552 in words is "ten billion, four hundred twenty-four million, four hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 269 276 368 538 552 736 807 1076 1104 1614 2152 2208 3228 4304 6187 6456 8608 12374 12912 17551 18561 24748 25824 35102 37122 49496 52653 70204 74244 98992 105306 140408 148488 197984 210612 280816 296976 403673 421224 561632 593952 807346 842448 1211019 1614692 1684896 2422038 3229384 4721219 4844076 6458768 9442438 9688152 12917536 14163657 18884876 19376304 28327314 37769752 38752608 56654628 75539504 108588037 113309256 151079008 217176074 226618512 325764111 434352148 453237024 651528222 868704296 1303056444 1737408592 2606112888 3474817184 5212225776 10424451552