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3688111008 = 25334268647
BaseRepresentation
bin1101101111010100…
…0001101110100000
3100112000211110012000
43123311001232200
530023124023013
61405545004000
7160252266141
oct33365015640
910460743160
103688111008
11162292a42a
1286b183600
1346a12030a
1426db67ac8
15168bb8973
hexdbd41ba0

3688111008 has 48 divisors (see below), whose sum is σ = 10756992960. Its totient is φ = 1229370048.

The previous prime is 3688110997. The next prime is 3688111043. The reversal of 3688111008 is 8001118863.

3688111008 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2133460 + ... + 2135187.

It is an arithmetic number, because the mean of its divisors is an integer number (224104020).

Almost surely, 23688111008 is an apocalyptic number.

It is an amenable number.

3688111008 is an abundant number, since it is smaller than the sum of its proper divisors (7068881952).

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

3688111008 is a wasteful number, since it uses less digits than its factorization.

3688111008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268666 (or 4268652 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 3688111008 is about 60729.8197593242. The cubic root of 3688111008 is about 1545.0219772536.

The spelling of 3688111008 in words is "three billion, six hundred eighty-eight million, one hundred eleven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4268647 8537294 12805941 17074588 25611882 34149176 38417823 51223764 68298352 76835646 102447528 115253469 136596704 153671292 204895056 230506938 307342584 409790112 461013876 614685168 922027752 1229370336 1844055504 3688111008