Base | Representation |
---|---|
bin | 1001000010001011110… |
… | …1111111101100100000 |
3 | 112211121112112022000000 |
4 | 2100202331333230200 |
5 | 10020330101442210 |
6 | 155144520300000 |
7 | 14133064660110 |
oct | 2204275775440 |
9 | 484545468000 |
10 | 155205499680 |
11 | 5a905505100 |
12 | 260b6011600 |
13 | 11835b6c69a |
14 | 7724c67040 |
15 | 4085ac9ac0 |
hex | 2422f7fb20 |
155205499680 has 1008 divisors, whose sum is σ = 691044685632. Its totient is φ = 32229964800.
The previous prime is 155205499667. The next prime is 155205499681. The reversal of 155205499680 is 86994502551.
155205499680 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 0 + 549 + 96 + 8 + 0 = 666.
155205499680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (155205499681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 98793295 + ... + 98794865.
It is an arithmetic number, because the mean of its divisors is an integer number (685560204).
Almost surely, 2155205499680 is an apocalyptic number.
155205499680 is a gapful number since it is divisible by the number (10) 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 155205499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345522342816).
155205499680 is an abundant number, since it is smaller than the sum of its proper divisors (535839185952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
155205499680 is a wasteful number, since it uses less digits than its factorization.
155205499680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1633 (or 1599 counting only the distinct ones).
The product of its (nonzero) digits is 3888000, while the sum is 54.
The spelling of 155205499680 in words is "one hundred fifty-five billion, two hundred five million, four hundred ninety-nine thousand, six hundred eighty".
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