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2066056050 = 235235339019
BaseRepresentation
bin111101100100101…
…1000001101110010
312022222122112002110
41323021120031302
513212402243200
6541002430150
7102125121012
oct17311301562
95288575073
102066056050
11970264543
12497b02356
1326c064996
14158571c42
15c15aeb50
hex7b258372

2066056050 has 48 divisors (see below), whose sum is σ = 5138465760. Its totient is φ = 549373440.

The previous prime is 2066056021. The next prime is 2066056073. The reversal of 2066056050 is 506506602.

2066056050 is digitally balanced in base 4, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2066055999 and 2066056017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33441 + ... + 72459.

It is an arithmetic number, because the mean of its divisors is an integer number (107051370).

Almost surely, 22066056050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066056050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569232880).

2066056050 is an abundant number, since it is smaller than the sum of its proper divisors (3072409710).

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

2066056050 is a wasteful number, since it uses less digits than its factorization.

2066056050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39387 (or 39382 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2066056050 is about 45453.8892725364. The cubic root of 2066056050 is about 1273.6419835255.

The spelling of 2066056050 in words is "two billion, sixty-six million, fifty-six thousand, fifty", and thus it is an eban number.

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 353 706 1059 1765 2118 3530 5295 8825 10590 17650 26475 39019 52950 78038 117057 195095 234114 390190 585285 975475 1170570 1950950 2926425 5852850 13773707 27547414 41321121 68868535 82642242 137737070 206605605 344342675 413211210 688685350 1033028025 2066056050