Search a number
-
+
452134255410 = 232514959356857
BaseRepresentation
bin1101001010001010100…
…11010011101100110010
31121020001000100221122100
412211011103103230302
524401432332133120
6543412502121230
744444210521515
oct6450523235462
91536030327570
10452134255410
111648270000a2
1273762a20216
1333836600a96
1417c52138d7c
15bb63820490
hex69454d3b32

452134255410 has 96 divisors (see below), whose sum is σ = 1185455185200. Its totient is φ = 119555887104.

The previous prime is 452134255387. The next prime is 452134255429. The reversal of 452134255410 is 14552431254.

452134255410 is a `hidden beast` number, since 4 + 5 + 213 + 4 + 25 + 5 + 410 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 107634517929 + 344499737481 = 328077^2 + 586941^2 .

It is a super-2 number, since 2×4521342554102 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7923702 + ... + 7980558.

Almost surely, 2452134255410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452134255410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592727592600).

452134255410 is an abundant number, since it is smaller than the sum of its proper divisors (733320929790).

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

452134255410 is a wasteful number, since it uses less digits than its factorization.

452134255410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57612 (or 57609 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 452134255410 its reverse (14552431254), we get a palindrome (466686686664).

The spelling of 452134255410 in words is "four hundred fifty-two billion, one hundred thirty-four million, two hundred fifty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 593 745 894 1186 1341 1490 1779 2235 2682 2965 3558 4470 5337 5930 6705 8895 10674 13410 17790 26685 53370 56857 88357 113714 170571 176714 265071 284285 341142 441785 511713 530142 568570 795213 852855 883570 1023426 1325355 1590426 1705710 2558565 2650710 3976065 5117130 7952130 8471693 16943386 25415079 33716201 42358465 50830158 67432402 76245237 84716930 101148603 127075395 152490474 168581005 202297206 254150790 303445809 337162010 381226185 505743015 606891618 762452370 1011486030 1517229045 3034458090 5023713949 10047427898 15071141847 25118569745 30142283694 45213425541 50237139490 75355709235 90426851082 150711418470 226067127705 452134255410