Search a number
-
+
10052453730 = 23511211872333
BaseRepresentation
bin10010101110010110…
…00100010101100010
3221221120110120010010
421113023010111202
5131041412004410
64341254545350
7504052306164
oct112713042542
927846416103
1010052453730
114299391300
121b46668256
13c42824697
146b50d8934
153dc7bec20
hex2572c4562

10052453730 has 96 divisors (see below), whose sum is σ = 26552256192. Its totient is φ = 2433861760.

The previous prime is 10052453717. The next prime is 10052453779. The reversal of 10052453730 is 3735425001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4307644 + ... + 4309976.

It is an arithmetic number, because the mean of its divisors is an integer number (276586002).

Almost surely, 210052453730 is an apocalyptic number.

10052453730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10052453730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13276128096).

10052453730 is an abundant number, since it is smaller than the sum of its proper divisors (16499802462).

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

10052453730 is a wasteful number, since it uses less digits than its factorization.

10052453730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

Adding to 10052453730 its reverse (3735425001), we get a palindrome (13787878731).

The spelling of 10052453730 in words is "ten billion, fifty-two million, four hundred fifty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1187 1210 1815 2333 2374 3561 3630 4666 5935 6999 7122 11665 11870 13057 13998 17805 23330 25663 26114 34995 35610 39171 51326 65285 69990 76989 78342 128315 130570 143627 153978 195855 256630 282293 287254 384945 391710 430881 564586 718135 769890 846879 861762 1411465 1436270 1693758 2154405 2769271 2822930 4234395 4308810 5538542 8307813 8468790 13846355 16615626 27692710 30461981 41539065 60923962 83078130 91385943 152309905 182771886 304619810 335081791 456929715 670163582 913859430 1005245373 1675408955 2010490746 3350817910 5026226865 10052453730