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1483648238601 = 3619722292
BaseRepresentation
bin10101100101110000010…
…100111000010000001001
312020211112222220121000000
4111211300110320100021
5143302002422113401
63053324550433213
7212122120643544
oct25456024702011
95224488817000
101483648238601
1152223682aaa1
121bb65a962809
13a9ba480b549
1451b47acd85b
15288d6a6d186
hex15970538409

1483648238601 has 63 divisors (see below), whose sum is σ = 2245609702821. Its totient is φ = 979780735584.

The previous prime is 1483648238551. The next prime is 1483648238603. The reversal of 1483648238601 is 1068328463841.

It is a happy number.

The square root of 1483648238601 is 1218051.

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

1483648238601 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 6 + 4 + 8 + 23 + 8 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1250382422025 + 233265816576 = 1118205^2 + 482976^2 .

It is not a de Polignac number, because 1483648238601 - 231 = 1481500754953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1483648238603) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6478813155 + ... + 6478813383.

Almost surely, 21483648238601 is an apocalyptic number.

1483648238601 is the 1218051-st square number.

1483648238601 is the 609026-th centered octagonal number.

It is an amenable number.

1483648238601 is a deficient number, since it is larger than the sum of its proper divisors (761961464220).

1483648238601 is an frugal number, since it uses more digits than its factorization.

1483648238601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1483648238601 in words is "one trillion, four hundred eighty-three billion, six hundred forty-eight million, two hundred thirty-eight thousand, six hundred one".

Divisors: 1 3 9 27 81 197 229 243 591 687 729 1773 2061 5319 6183 15957 18549 38809 45113 47871 52441 55647 116427 135339 143613 157323 166941 349281 406017 471969 1047843 1218051 1415907 3143529 3654153 4247721 8887261 9430587 10330877 10962459 12743163 26661783 28291761 30992631 32887377 38229489 79985349 92977893 239956047 278933679 719868141 836801037 2035182769 2159604423 2510403111 6105548307 6478813269 7531209333 18316644921 54949934763 164849804289 494549412867 1483648238601