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3679192168064 = 27719216117961
BaseRepresentation
bin110101100010100000111…
…100010011011010000000
3111000201122020011021211222
4311202200330103122000
5440234441143334224
611454110400454212
7526545545300420
oct65424074233200
914021566137758
103679192168064
111199378076256
124b507601a368
13208c3c12954a
14ca10690c480
1565a86bacb5e
hex358a0f13680

3679192168064 has 64 divisors (see below), whose sum is σ = 8817612849600. Its totient is φ = 1493807339520.

The previous prime is 3679192168061. The next prime is 3679192168153. The reversal of 3679192168064 is 4608612919763.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3679192167988 and 3679192168006.

It is not an unprimeable number, because it can be changed into a prime (3679192168061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108041957 + ... + 108076004.

It is an arithmetic number, because the mean of its divisors is an integer number (137775200775).

Almost surely, 23679192168064 is an apocalyptic number.

It is an amenable number.

3679192168064 is an abundant number, since it is smaller than the sum of its proper divisors (5138420681536).

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

3679192168064 is a wasteful number, since it uses less digits than its factorization.

3679192168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216118001 (or 216117989 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 62.

The spelling of 3679192168064 in words is "three trillion, six hundred seventy-nine billion, one hundred ninety-two million, one hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 216117961 432235922 864471844 1512825727 1728943688 3025651454 3457887376 4106241259 6051302908 6915774752 8212482518 12102605816 13831549504 16424965036 24205211632 27663099008 28743688813 32849930072 48410423264 57487377626 65699860144 96820846528 114974755252 131399720288 193641693056 229949510504 262799440576 459899021008 525598881152 919798042016 1839596084032 3679192168064