Search a number
-
+
155520046080 = 210325731103151
BaseRepresentation
bin1001000011010110110…
…1111001010000000000
3112212102110101220112200
42100311231321100000
510022001112433310
6155240034153200
714143634403030
oct2206555712000
9485373356480
10155520046080
115aa57014503
1226183422800
1311886091509
1477549458c0
1540a350d9c0
hex2435b79400

155520046080 has 1056 divisors, whose sum is σ = 646144032768. Its totient is φ = 33841152000.

The previous prime is 155520046079. The next prime is 155520046103. The reversal of 155520046080 is 80640025551.

155520046080 is a `hidden beast` number, since 1 + 55 + 520 + 0 + 4 + 6 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029934005 + ... + 1029934155.

Almost surely, 2155520046080 is an apocalyptic number.

155520046080 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 155520046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323072016384).

155520046080 is an abundant number, since it is smaller than the sum of its proper divisors (490623986688).

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

155520046080 is a wasteful number, since it uses less digits than its factorization.

155520046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 155520046080 in words is "one hundred fifty-five billion, five hundred twenty million, forty-six thousand, eighty".