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3356656065 = 33572507431
BaseRepresentation
bin1100100000010010…
…1000000111000001
322122221010210111000
43020010220013001
523333300443230
61313024442213
7146116051200
oct31004500701
98587123430
103356656065
111472821424
12798179369
1341655b229
1423bb27237
15149a44b60
hexc81281c1

3356656065 has 48 divisors (see below), whose sum is σ = 6941669760. Its totient is φ = 1534468320.

The previous prime is 3356656063. The next prime is 3356656081. The reversal of 3356656065 is 5606566533.

3356656065 is a `hidden beast` number, since 3 + 35 + 6 + 6 + 5 + 606 + 5 = 666.

It is not a de Polignac number, because 3356656065 - 21 = 3356656063 is a prime.

It is a super-2 number, since 2×33566560652 = 22534279877402568450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3356656065.

It is not an unprimeable number, because it can be changed into a prime (3356656063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247101 + ... + 260330.

It is an arithmetic number, because the mean of its divisors is an integer number (144618120).

Almost surely, 23356656065 is an apocalyptic number.

3356656065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3356656065 is an abundant number, since it is smaller than the sum of its proper divisors (3585013695).

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

3356656065 is a wasteful number, since it uses less digits than its factorization.

3356656065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507459 (or 507446 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The square root of 3356656065 is about 57936.6556249150. The cubic root of 3356656065 is about 1497.2774414396.

It can be divided in two parts, 335 and 6656065, that added together give a square (6656400 = 25802).

The spelling of 3356656065 in words is "three billion, three hundred fifty-six million, six hundred fifty-six thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 507431 1522293 2537155 3552017 4566879 7611465 10656051 13700637 17760085 22834395 24864119 31968153 53280255 68503185 74592357 95904459 124320595 159840765 223777071 372961785 479522295 671331213 1118885355 3356656065