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3642656064 = 26356933343
BaseRepresentation
bin1101100100011110…
…1000010101000000
3100101212022002201120
43121013220111000
524430004443224
61401242432240
7156161031345
oct33107502500
910355262646
103642656064
1115aa203463
12857b02680
134608968b8
14267ad47cc
15164bda779
hexd91e8540

3642656064 has 56 divisors (see below), whose sum is σ = 9655088640. Its totient is φ = 1212048384.

The previous prime is 3642656051. The next prime is 3642656077. The reversal of 3642656064 is 4606562463.

It is an interprime number because it is at equal distance from previous prime (3642656051) and next prime (3642656077).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92577 + ... + 125919.

Almost surely, 23642656064 is an apocalyptic number.

It is an amenable number.

3642656064 is an abundant number, since it is smaller than the sum of its proper divisors (6012432576).

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

3642656064 is a wasteful number, since it uses less digits than its factorization.

3642656064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33927 (or 33917 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The square root of 3642656064 is about 60354.4204180605. The cubic root of 3642656064 is about 1538.6483986242.

The spelling of 3642656064 in words is "three billion, six hundred forty-two million, six hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 569 1138 1707 2276 3414 4552 6828 9104 13656 18208 27312 33343 36416 54624 66686 100029 109248 133372 200058 266744 400116 533488 800232 1066976 1600464 2133952 3200928 6401856 18972167 37944334 56916501 75888668 113833002 151777336 227666004 303554672 455332008 607109344 910664016 1214218688 1821328032 3642656064