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149981249525 = 52192297572
BaseRepresentation
bin1000101110101110010…
…1000011111111110101
3112100010110011220001112
42023223211003333311
54424130144441100
6152522254404405
713556450405102
oct2135345037765
9470113156045
10149981249525
1158674561698
1225098500705
13111b27159c3
14738b0adaa9
153d7c128b35
hex22eb943ff5

149981249525 has 54 divisors (see below), whose sum is σ = 203317034310. Its totient is φ = 109605363840.

The previous prime is 149981249501. The next prime is 149981249527. The reversal of 149981249525 is 525942189941.

It can be written as a sum of positive squares in 9 ways, for example, as 23121331249 + 126859918276 = 152057^2 + 356174^2 .

It is not a de Polignac number, because 149981249525 - 28 = 149981249269 is a prime.

Its product of digits (9331200) is a multiple of the sum of its prime divisors (810).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149981249527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 198125447 + ... + 198126203.

It is an arithmetic number, because the mean of its divisors is an integer number (3765130265).

Almost surely, 2149981249525 is an apocalyptic number.

It is an amenable number.

149981249525 is a deficient number, since it is larger than the sum of its proper divisors (53335784785).

149981249525 is an frugal number, since it uses more digits than its factorization.

149981249525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 810 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 59.

The spelling of 149981249525 in words is "one hundred forty-nine billion, nine hundred eighty-one million, two hundred forty-nine thousand, five hundred twenty-five".

Divisors: 1 5 19 25 29 95 145 361 475 551 725 757 1805 2755 3785 9025 10469 13775 14383 18925 21953 52345 71915 109765 261725 273277 359575 417107 548825 573049 1366385 2085535 2865245 6831925 7925033 10427675 10887931 14326225 16618421 39625165 54439655 83092105 198125825 206870689 272198275 315749999 415460525 1034353445 1578749995 5171767225 5999249981 7893749975 29996249905 149981249525