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2066415372 = 223278200061
BaseRepresentation
bin111101100101010…
…1111111100001100
312100000022202222200
41323022233330030
513213000242442
6541014241500
7102131145420
oct17312577414
95300282880
102066415372
1197048a4aa
12498056290
1326c15c3b8
14158626b80
15c163134c
hex7b2aff0c

2066415372 has 36 divisors (see below), whose sum is σ = 5969645136. Its totient is φ = 590404320.

The previous prime is 2066415371. The next prime is 2066415383. The reversal of 2066415372 is 2735146602.

2066415372 is a `hidden beast` number, since 2 + 0 + 6 + 641 + 5 + 3 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (2066415371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4099779 + ... + 4100282.

It is an arithmetic number, because the mean of its divisors is an integer number (165823476).

Almost surely, 22066415372 is an apocalyptic number.

It is an amenable number.

2066415372 is an abundant number, since it is smaller than the sum of its proper divisors (3903229764).

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

2066415372 is a wasteful number, since it uses less digits than its factorization.

2066415372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8200078 (or 8200073 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2066415372 is about 45457.8416997552. The cubic root of 2066415372 is about 1273.7158151876.

The spelling of 2066415372 in words is "two billion, sixty-six million, four hundred fifteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 8200061 16400122 24600183 32800244 49200366 57400427 73800549 98400732 114800854 147601098 172201281 229601708 295202196 344402562 516603843 688805124 1033207686 2066415372