Search a number
-
+
11730545920 = 2859164489
BaseRepresentation
bin10101110110011000…
…11110110100000000
31010021112002110211201
422323030132310000
5143011004432140
65220002150544
7563456665222
oct127314366400
933245073751
1011730545920
114a7a650855
122334652454
13114c3a0342
147d3d1a412
15489c9749a
hex2bb31ed00

11730545920 has 36 divisors (see below), whose sum is σ = 28098326340. Its totient is φ = 4692217856.

The previous prime is 11730545903. The next prime is 11730545923. The reversal of 11730545920 is 2954503711.

It can be written as a sum of positive squares in 2 ways, for example, as 7539796224 + 4190749696 = 86832^2 + 64736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11730545920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11730545923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4580965 + ... + 4583524.

It is an arithmetic number, because the mean of its divisors is an integer number (780509065).

Almost surely, 211730545920 is an apocalyptic number.

11730545920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11730545920 is an abundant number, since it is smaller than the sum of its proper divisors (16367780420).

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

11730545920 is an frugal number, since it uses more digits than its factorization.

11730545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164510 (or 9164496 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 11730545920 in words is "eleven billion, seven hundred thirty million, five hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 9164489 18328978 36657956 45822445 73315912 91644890 146631824 183289780 293263648 366579560 586527296 733159120 1173054592 1466318240 2346109184 2932636480 5865272960 11730545920