Search a number
-
+
10820611452 = 2237177577459
BaseRepresentation
bin10100001001111010…
…10110110101111100
31000221002220000102010
422010331112311330
5134130034031302
64545415131220
7532100452110
oct120475266574
930832800363
1010820611452
114652a535a2
12211b973b10
131035a08b91
14749135740
15434e5716c
hex284f56d7c

10820611452 has 48 divisors (see below), whose sum is σ = 30552318720. Its totient is φ = 2909743872.

The previous prime is 10820611447. The next prime is 10820611463. The reversal of 10820611452 is 25411602801.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3787302 + ... + 3790157.

It is an arithmetic number, because the mean of its divisors is an integer number (636506640).

Almost surely, 210820611452 is an apocalyptic number.

10820611452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10820611452 is an abundant number, since it is smaller than the sum of its proper divisors (19731707268).

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

10820611452 is a wasteful number, since it uses less digits than its factorization.

10820611452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577490 (or 7577488 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 10820611452 in words is "ten billion, eight hundred twenty million, six hundred eleven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 7577459 15154918 22732377 30309836 45464754 53042213 90929508 106084426 128816803 159126639 212168852 257633606 318253278 386450409 515267212 636506556 772900818 901717621 1545801636 1803435242 2705152863 3606870484 5410305726 10820611452