Search a number
-
+
11199545680 = 245717612591
BaseRepresentation
bin10100110111000101…
…11000000101010000
31001220111220212110011
422123202320011100
5140414040430210
65051153044304
7544351365451
oct123342700520
931814825404
1011199545680
114827940484
122206856694
131096382c0b
147835b5128
15458358d8a
hex29b8b8150

11199545680 has 80 divisors (see below), whose sum is σ = 26450592768. Its totient is φ = 4409216000.

The previous prime is 11199545671. The next prime is 11199545681. The reversal of 11199545680 is 8654599111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11199545681) 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, 4321185 + ... + 4323775.

Almost surely, 211199545680 is an apocalyptic number.

11199545680 is a gapful number since it is divisible by the number (10) 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 11199545680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225296384).

11199545680 is an abundant number, since it is smaller than the sum of its proper divisors (15251047088).

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

11199545680 is a wasteful number, since it uses less digits than its factorization.

11199545680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 49.

The spelling of 11199545680 in words is "eleven billion, one hundred ninety-nine million, five hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 761 1136 1420 1522 2591 2840 3044 3805 5182 5680 6088 7610 10364 12176 12955 15220 20728 25910 30440 41456 51820 54031 60880 103640 108062 183961 207280 216124 270155 367922 432248 540310 735844 864496 919805 1080620 1471688 1839610 1971751 2161240 2943376 3679220 3943502 4322480 7358440 7887004 9858755 14716880 15774008 19717510 31548016 39435020 78870040 139994321 157740080 279988642 559977284 699971605 1119954568 1399943210 2239909136 2799886420 5599772840 11199545680