Search a number
-
+
155180249280 = 26335723281397
BaseRepresentation
bin1001000010000101110…
…1101011000011000000
3112211112210000102222000
42100201131223003000
510020302120434110
6155142215144000
714132340232560
oct2204135530300
9484483012860
10155180249280
115a8a2229101
12260a9675000
131183086b514
147721772da0
15408378d1c0
hex242176b0c0

155180249280 has 896 divisors, whose sum is σ = 656823029760. Its totient is φ = 33721712640.

The previous prime is 155180249219. The next prime is 155180249281. The reversal of 155180249280 is 82942081551.

155180249280 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 80 + 2 + 492 + 80 = 666.

155180249280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (155180249281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 390882042 + ... + 390882438.

Almost surely, 2155180249280 is an apocalyptic number.

155180249280 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 155180249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328411514880).

155180249280 is an abundant number, since it is smaller than the sum of its proper divisors (501642780480).

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

155180249280 is a wasteful number, since it uses less digits than its factorization.

155180249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 155180249280 in words is "one hundred fifty-five billion, one hundred eighty million, two hundred forty-nine thousand, two hundred eighty".