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155230193664 = 2113472132113
BaseRepresentation
bin1001000010010001110…
…0001100100000000000
3112211200020222212210000
42100210130030200000
510020402412144124
6155151201440000
714133514606200
oct2204434144000
9484606885700
10155230193664
115a918441057
1226102340000
131183b007500
147728254400
154087d566c9
hex242470c800

155230193664 has 1080 divisors, whose sum is σ = 589209951330. Its totient is φ = 40577531904.

The previous prime is 155230193633. The next prime is 155230193669. The reversal of 155230193664 is 466391032551.

155230193664 is a `hidden beast` number, since 1 + 55 + 230 + 1 + 9 + 366 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 30762353664 + 124467840000 = 175392^2 + 352800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155230193669) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1373718472 + ... + 1373718584.

Almost surely, 2155230193664 is an apocalyptic number.

155230193664 is a gapful number since it is divisible by the number (14) 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 155230193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294604975665).

155230193664 is an abundant number, since it is smaller than the sum of its proper divisors (433979757666).

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

155230193664 is a wasteful number, since it uses less digits than its factorization.

155230193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 155230193664 in words is "one hundred fifty-five billion, two hundred thirty million, one hundred ninety-three thousand, six hundred sixty-four".