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2066144544 = 25333177141
BaseRepresentation
bin111101100100110…
…1101110100100000
312022222211000111000
41323021231310200
513212413111134
6541004352000
7102125640012
oct17311556440
95288730430
102066144544
11970314a82
12497b45600
1326c096049
141585961b2
15c15cae99
hex7b26dd20

2066144544 has 96 divisors (see below), whose sum is σ = 6220730880. Its totient is φ = 666489600.

The previous prime is 2066144543. The next prime is 2066144551. The reversal of 2066144544 is 4454416602.

2066144544 is a `hidden beast` number, since 206 + 6 + 1 + 445 + 4 + 4 = 666.

2066144544 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2066144499 and 2066144508.

It is not an unprimeable number, because it can be changed into a prime (2066144543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11787 + ... + 65354.

It is an arithmetic number, because the mean of its divisors is an integer number (64799280).

Almost surely, 22066144544 is an apocalyptic number.

2066144544 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 2066144544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110365440).

2066144544 is an abundant number, since it is smaller than the sum of its proper divisors (4154586336).

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

2066144544 is a wasteful number, since it uses less digits than its factorization.

2066144544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77191 (or 77177 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2066144544 is about 45454.8627101656. The cubic root of 2066144544 is about 1273.6601676183.

The spelling of 2066144544 in words is "two billion, sixty-six million, one hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 77141 154282 231423 308564 462846 617128 694269 925692 1234256 1388538 1851384 2082807 2391371 2468512 2777076 3702768 4165614 4782742 5554152 7174113 7405536 8331228 9565484 11108304 14348226 16662456 19130968 21522339 22216608 28696452 33324912 38261936 43044678 57392904 64567017 66649824 76523872 86089356 114785808 129134034 172178712 229571616 258268068 344357424 516536136 688714848 1033072272 2066144544