Search a number
-
+
2055561144 = 2337133197313
BaseRepresentation
bin111101010000101…
…0101111110111000
312022020220022210020
41322201111332320
513202210424034
6535545450440
7101636660430
oct17241257670
95266808706
102055561144
1196534656a
124944a0a20
13269b2ba90
14156ddd2c0
15c06da249
hex7a855fb8

2055561144 has 256 divisors, whose sum is σ = 6617210880. Its totient is φ = 517570560.

The previous prime is 2055561133. The next prime is 2055561163. The reversal of 2055561144 is 4411655502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6567132 + ... + 6567444.

It is an arithmetic number, because the mean of its divisors is an integer number (25848480).

Almost surely, 22055561144 is an apocalyptic number.

2055561144 is a gapful number since it is divisible by the number (24) 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 2055561144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308605440).

2055561144 is an abundant number, since it is smaller than the sum of its proper divisors (4561649736).

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

2055561144 is a wasteful number, since it uses less digits than its factorization.

2055561144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 2055561144 is about 45338.2966596673. The cubic root of 2055561144 is about 1271.4817565671.

The spelling of 2055561144 in words is "two billion, fifty-five million, five hundred sixty-one thousand, one hundred forty-four".