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155128780800 = 21133527172341
BaseRepresentation
bin1001000001111001100…
…1010101100000000000
3112211102012011120111000
42100132121111200000
510020200431441200
6155133140052000
714131143610650
oct2203631254000
9484365146430
10155128780800
115a876175074
1226094394000
1311822cba8b6
1477189b6360
15407dec3300
hex241e655800

155128780800 has 2304 divisors, whose sum is σ = 737052825600. Its totient is φ = 31142707200.

The previous prime is 155128780663. The next prime is 155128780813. The reversal of 155128780800 is 8087821551.

155128780800 is a `hidden beast` number, since 1 + 551 + 28 + 78 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3783628780 + ... + 3783628820.

It is an arithmetic number, because the mean of its divisors is an integer number (319901400).

Almost surely, 2155128780800 is an apocalyptic number.

155128780800 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 155128780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368526412800).

155128780800 is an abundant number, since it is smaller than the sum of its proper divisors (581924044800).

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

155128780800 is a wasteful number, since it uses less digits than its factorization.

155128780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 155128780800 in words is "one hundred fifty-five billion, one hundred twenty-eight million, seven hundred eighty thousand, eight hundred".