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20149518601 = 1923122412
BaseRepresentation
bin10010110001000000…
…010100000100001001
31221000020212121012201
4102301000110010021
5312231234043401
613131230040201
71312216040122
oct226100240411
957006777181
1020149518601
1185aa972613
123aa4049061
131b91668694
14d920c7049
157cde52b01
hex4b1014109

20149518601 has 27 divisors (see below), whose sum is σ = 22065515559. Its totient is φ = 18396590400.

The previous prime is 20149518581. The next prime is 20149518607. The reversal of 20149518601 is 10681594102.

The square root of 20149518601 is 141949.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15153856201 + 4995662400 = 123101^2 + 70680^2 .

It is not a de Polignac number, because 20149518601 - 25 = 20149518569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20149518607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83607841 + ... + 83608081.

It is an arithmetic number, because the mean of its divisors is an integer number (817241317).

Almost surely, 220149518601 is an apocalyptic number.

20149518601 is the 141949-th square number.

20149518601 is the 70975-th centered octagonal number.

It is an amenable number.

20149518601 is a deficient number, since it is larger than the sum of its proper divisors (1915996958).

20149518601 is an frugal number, since it uses more digits than its factorization.

20149518601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 20149518601 in words is "twenty billion, one hundred forty-nine million, five hundred eighteen thousand, six hundred one".

Divisors: 1 19 31 241 361 589 961 4579 7471 11191 18259 58081 87001 141949 231601 346921 1103539 1800511 2697031 4400419 20967241 34209709 55815841 83607961 649984471 1060500979 20149518601