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149225989524481 = 172372194212
BaseRepresentation
bin100001111011100001100010…
…000110001100110000000001
3201120100212100210012200122201
4201323201202012030300001
5124024404311304240411
61245213250113233201
743301136063233632
oct4173414206146001
9646325323180581
10149225989524481
1143603428855a21
12148a0bb5b62801
136535c48135abc
1428bc80da1d889
15123ba9cb223c1
hex87b86218cc01

149225989524481 has 27 divisors (see below), whose sum is σ = 162928857488187. Its totient is φ = 136645062209280.

The previous prime is 149225989524463. The next prime is 149225989524523. The reversal of 149225989524481 is 184425989522941.

The square root of 149225989524481 is 12215809.

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

It can be written as a sum of positive squares in 13 ways, for example, as 48539214406081 + 100686775118400 = 6967009^2 + 10034280^2 .

It is not a de Polignac number, because 149225989524481 - 211 = 149225989522433 is a prime.

It is a super-2 number, since 2×1492259895244812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149225989524401) 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, 7683734151 + ... + 7683753571.

Almost surely, 2149225989524481 is an apocalyptic number.

149225989524481 is the 12215809-th square number.

149225989524481 is the 6107905-th centered octagonal number.

It is an amenable number.

149225989524481 is a deficient number, since it is larger than the sum of its proper divisors (13702867963706).

149225989524481 is an frugal number, since it uses more digits than its factorization.

149225989524481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38950 (or 19475 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 73.

The spelling of 149225989524481 in words is "one hundred forty-nine trillion, two hundred twenty-five billion, nine hundred eighty-nine million, five hundred twenty-four thousand, four hundred eighty-one".

Divisors: 1 17 37 289 629 1369 10693 19421 23273 330157 395641 718577 5612669 12215809 26587349 207668753 377175241 451984933 6411979097 7683743861 13955483917 109003644649 237243226589 516352904929 4033134852013 8777999383793 149225989524481