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155132331552 = 253211193349727
BaseRepresentation
bin1001000001111010011…
…0111000011000100000
3112211102102211222012100
42100132212320120200
510020202334102202
6155133344130400
714131216030002
oct2203646703040
9484372758170
10155132331552
115a87817a880
1226095606a00
1311823961b33
14771925c372
15407e47541c
hex241e9b8620

155132331552 has 288 divisors, whose sum is σ = 485809833600. Its totient is φ = 46568079360.

The previous prime is 155132331533. The next prime is 155132331553. The reversal of 155132331552 is 255133231551.

155132331552 is a `hidden beast` number, since 1 + 5 + 51 + 3 + 23 + 31 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (155132331553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213386613 + ... + 213387339.

It is an arithmetic number, because the mean of its divisors is an integer number (1686839700).

Almost surely, 2155132331552 is an apocalyptic number.

155132331552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155132331552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242904916800).

155132331552 is an abundant number, since it is smaller than the sum of its proper divisors (330677502048).

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

155132331552 is a wasteful number, since it uses less digits than its factorization.

155132331552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1285 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

It can be divided in two parts, 155132 and 331552, that added together give a palindrome (486684).

The spelling of 155132331552 in words is "one hundred fifty-five billion, one hundred thirty-two million, three hundred thirty-one thousand, five hundred fifty-two".