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155136270672 = 24326117661233
BaseRepresentation
bin1001000001111011010…
…1111010000101010000
3112211102201021002122200
42100132311322011100
510020204341130142
6155134004403200
714131264354215
oct2203665720520
9484381232580
10155136270672
115a87a420349
12260969a6500
1311824710a86
1477199a5b0c
15407e9a264c
hex241ed7a150

155136270672 has 60 divisors (see below), whose sum is σ = 441283592724. Its totient is φ = 50864348160.

The previous prime is 155136270661. The next prime is 155136270673. The reversal of 155136270672 is 276072631551.

It is a happy number.

155136270672 is a `hidden beast` number, since 1 + 5 + 5 + 13 + 627 + 0 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5432279616 + 149703991056 = 73704^2 + 386916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155136270673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8821833 + ... + 8839400.

Almost surely, 2155136270672 is an apocalyptic number.

155136270672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

155136270672 is an abundant number, since it is smaller than the sum of its proper divisors (286147322052).

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

155136270672 is a wasteful number, since it uses less digits than its factorization.

155136270672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17661308 (or 17661299 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 155136270672 in words is "one hundred fifty-five billion, one hundred thirty-six million, two hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 17661233 35322466 52983699 70644932 105967398 141289864 158951097 211934796 282579728 317902194 423869592 635804388 847739184 1077335213 1271608776 2154670426 2543217552 3232005639 4309340852 6464011278 8618681704 9696016917 12928022556 17237363408 19392033834 25856045112 38784067668 51712090224 77568135336 155136270672